[{"publication":"European Journal of Physics","issue":"5","extern":"1","abstract":[{"lang":"eng","text":"We present a simple analytic scheme for calculating the binding energy of excitons in semiconductors that takes full account of the existing anisotropy in the effective mass, as a complement to the qualitative treatment in most textbooks. Results obtained for excitons in gallium nitride form the basis for a discussion of the accuracy of this approach."},{"lang":"ger","text":"Wir präsentieren ein einfaches analytisches Verfahren zur Berechnung der Bindungsenergie von Exzitonen in Halbleitern, das die vorhandene Anisotropie in der effektiven Masse vollständig miteinbezieht, in Ergänzung zu der qualitativen Betrachtung in den meisten Lehrbüchern. Ergebnisse für Exzitonen in Galliumnitrid bilden die Grundlage für eine Diskussion der Genauigkeit dieser Methode."}],"file":[{"creator":"schindlm","description":"© 1997 IOP Publishing Ltd and The European Physical Society","file_size":145493,"date_updated":"2020-08-30T16:24:01Z","relation":"main_file","content_type":"application/pdf","file_id":"18627","title":"Excitons with anisotropic effective mass","date_created":"2020-08-28T22:05:27Z","access_level":"closed","file_name":"Arno_Schindlmayr_1997_Eur._J._Phys._18_011.pdf"}],"date_created":"2020-08-28T22:03:49Z","type":"journal_article","title":"Excitons with anisotropic effective mass","year":"1997","publication_identifier":{"eissn":["1361-6404"],"issn":["0143-0807"]},"author":[{"id":"458","full_name":"Schindlmayr, Arno","first_name":"Arno","last_name":"Schindlmayr","orcid":"0000-0002-4855-071X"}],"publication_status":"published","date_updated":"2022-11-11T07:00:05Z","article_type":"original","intvolume":"        18","language":[{"iso":"eng"}],"doi":"10.1088/0143-0807/18/5/011","file_date_updated":"2020-08-30T16:24:01Z","citation":{"ama":"Schindlmayr A. Excitons with anisotropic effective mass. <i>European Journal of Physics</i>. 1997;18(5):374-376. doi:<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>","bibtex":"@article{Schindlmayr_1997, title={Excitons with anisotropic effective mass}, volume={18}, DOI={<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>}, number={5}, journal={European Journal of Physics}, publisher={IOP Publishing and The European Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={374–376} }","mla":"Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” <i>European Journal of Physics</i>, vol. 18, no. 5, IOP Publishing and The European Physical Society, 1997, pp. 374–76, doi:<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>.","chicago":"Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” <i>European Journal of Physics</i> 18, no. 5 (1997): 374–76. <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">https://doi.org/10.1088/0143-0807/18/5/011</a>.","short":"A. Schindlmayr, European Journal of Physics 18 (1997) 374–376.","apa":"Schindlmayr, A. (1997). Excitons with anisotropic effective mass. <i>European Journal of Physics</i>, <i>18</i>(5), 374–376. <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">https://doi.org/10.1088/0143-0807/18/5/011</a>","ieee":"A. Schindlmayr, “Excitons with anisotropic effective mass,” <i>European Journal of Physics</i>, vol. 18, no. 5, pp. 374–376, 1997, doi: <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>."},"quality_controlled":"1","external_id":{"arxiv":["physics/9709036"]},"status":"public","has_accepted_license":"1","page":"374-376","_id":"18626","publisher":"IOP Publishing and The European Physical Society","user_id":"458","ddc":["530"],"volume":18},{"has_accepted_license":"1","status":"public","user_id":"458","ddc":["530"],"volume":56,"page":"3528-3531","publisher":"American Physical Society","_id":"18628","quality_controlled":"1","file_date_updated":"2020-08-30T16:26:32Z","isi":"1","citation":{"apa":"Schindlmayr, A. (1997). Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>, <i>56</i>(7), 3528–3531. <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">https://doi.org/10.1103/PhysRevB.56.3528</a>","ieee":"A. Schindlmayr, “Violation of particle number conservation in the GW approximation,” <i>Physical Review B</i>, vol. 56, no. 7, pp. 3528–3531, 1997, doi: <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>.","short":"A. Schindlmayr, Physical Review B 56 (1997) 3528–3531.","chicago":"Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i> 56, no. 7 (1997): 3528–31. <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">https://doi.org/10.1103/PhysRevB.56.3528</a>.","mla":"Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i>, vol. 56, no. 7, American Physical Society, 1997, pp. 3528–31, doi:<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>.","ama":"Schindlmayr A. Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>. 1997;56(7):3528-3531. doi:<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>","bibtex":"@article{Schindlmayr_1997, title={Violation of particle number conservation in the GW approximation}, volume={56}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>}, number={7}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={3528–3531} }"},"oa":"1","external_id":{"isi":["A1997XR96400004"],"arxiv":["cond-mat/9709275"]},"publication_status":"published","date_updated":"2022-11-11T07:00:49Z","article_type":"original","intvolume":"        56","title":"Violation of particle number conservation in the GW approximation","year":"1997","author":[{"full_name":"Schindlmayr, Arno","first_name":"Arno","last_name":"Schindlmayr","orcid":"0000-0002-4855-071X","id":"458"}],"publication_identifier":{"issn":["0163-1829"],"eissn":["1095-3795"]},"doi":"10.1103/PhysRevB.56.3528","language":[{"iso":"eng"}],"extern":"1","abstract":[{"text":"We present a nontrivial model system of interacting electrons that can be solved analytically in the GW approximation. We obtain the particle number from the GW Green’s function strictly analytically, and prove that there is a genuine violation of particle number conservation if the self-energy is calculated non-self-consistently from a zeroth order Green’s function, as done in virtually all practical implementations. We also show that a simple shift of the self-energy that partially restores self-consistency reduces the numerical deviation significantly.","lang":"eng"}],"publication":"Physical Review B","issue":"7","type":"journal_article","file":[{"date_updated":"2020-08-30T16:26:32Z","relation":"main_file","file_size":93337,"access_level":"open_access","file_name":"PhysRevB.56.3528.pdf","title":"Violation of particle number conservation in the GW approximation","content_type":"application/pdf","file_id":"18629","creator":"schindlm","description":"© 1997 American Physical Society","date_created":"2020-08-28T22:08:35Z"}],"date_created":"2020-08-28T22:07:22Z"},{"date_created":"2023-01-06T13:20:59Z","department":[{"_id":"2"},{"_id":"315"}],"type":"journal_article","keyword":["Physics and Astronomy (miscellaneous)","General Engineering","Atomic and Molecular Physics","and Optics"],"publication":"Journal de Physique II","issue":"3","extern":"1","language":[{"iso":"eng"}],"doi":"10.1051/jp2:1997135","publication_identifier":{"issn":["1155-4312","1286-4870"]},"author":[{"full_name":"Müller, Stefan","last_name":"Müller","first_name":"Stefan"},{"last_name":"Fischer","first_name":"Peter","full_name":"Fischer, Peter"},{"id":"466","orcid":"0000-0003-3179-9997","first_name":"Claudia","last_name":"Schmidt","full_name":"Schmidt, Claudia"}],"year":"1997","title":"Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance","article_type":"original","intvolume":"         7","publication_status":"published","date_updated":"2023-01-07T11:10:22Z","citation":{"chicago":"Müller, Stefan, Peter Fischer, and Claudia Schmidt. “Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance.” <i>Journal de Physique II</i> 7, no. 3 (1997): 421–32. <a href=\"https://doi.org/10.1051/jp2:1997135\">https://doi.org/10.1051/jp2:1997135</a>.","short":"S. Müller, P. Fischer, C. Schmidt, Journal de Physique II 7 (1997) 421–432.","apa":"Müller, S., Fischer, P., &#38; Schmidt, C. (1997). Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance. <i>Journal de Physique II</i>, <i>7</i>(3), 421–432. <a href=\"https://doi.org/10.1051/jp2:1997135\">https://doi.org/10.1051/jp2:1997135</a>","ieee":"S. Müller, P. Fischer, and C. Schmidt, “Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance,” <i>Journal de Physique II</i>, vol. 7, no. 3, pp. 421–432, 1997, doi: <a href=\"https://doi.org/10.1051/jp2:1997135\">10.1051/jp2:1997135</a>.","ama":"Müller S, Fischer P, Schmidt C. Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance. <i>Journal de Physique II</i>. 1997;7(3):421-432. doi:<a href=\"https://doi.org/10.1051/jp2:1997135\">10.1051/jp2:1997135</a>","bibtex":"@article{Müller_Fischer_Schmidt_1997, title={Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance}, volume={7}, DOI={<a href=\"https://doi.org/10.1051/jp2:1997135\">10.1051/jp2:1997135</a>}, number={3}, journal={Journal de Physique II}, publisher={EDP Sciences}, author={Müller, Stefan and Fischer, Peter and Schmidt, Claudia}, year={1997}, pages={421–432} }","mla":"Müller, Stefan, et al. “Solid-Like Director Reorientation in Sheared Hexagonal Lyotropic Liquid Crystals as Studied by Nuclear Maginetic Resonance.” <i>Journal de Physique II</i>, vol. 7, no. 3, EDP Sciences, 1997, pp. 421–32, doi:<a href=\"https://doi.org/10.1051/jp2:1997135\">10.1051/jp2:1997135</a>."},"quality_controlled":"1","publisher":"EDP Sciences","_id":"35377","page":"421-432","volume":7,"user_id":"466","status":"public"},{"quality_controlled":"1","citation":{"bibtex":"@article{Siebert_Grabowski_Schmidt_1997, title={Rheo-NMR study of a non-flow-aligning side-chain liquid crystal polymer in nematic solution}, volume={36}, DOI={<a href=\"https://doi.org/10.1007/bf00367357\">10.1007/bf00367357</a>}, number={6}, journal={Rheologica Acta}, publisher={Springer Science and Business Media LLC}, author={Siebert, Hartmut and Grabowski, David A. and Schmidt, Claudia}, year={1997}, pages={618–627} }","ama":"Siebert H, Grabowski DA, Schmidt C. Rheo-NMR study of a non-flow-aligning side-chain liquid crystal polymer in nematic solution. <i>Rheologica Acta</i>. 1997;36(6):618-627. doi:<a href=\"https://doi.org/10.1007/bf00367357\">10.1007/bf00367357</a>","mla":"Siebert, Hartmut, et al. “Rheo-NMR Study of a Non-Flow-Aligning Side-Chain Liquid Crystal Polymer in Nematic Solution.” <i>Rheologica Acta</i>, vol. 36, no. 6, Springer Science and Business Media LLC, 1997, pp. 618–27, doi:<a href=\"https://doi.org/10.1007/bf00367357\">10.1007/bf00367357</a>.","short":"H. Siebert, D.A. Grabowski, C. Schmidt, Rheologica Acta 36 (1997) 618–627.","chicago":"Siebert, Hartmut, David A. Grabowski, and Claudia Schmidt. “Rheo-NMR Study of a Non-Flow-Aligning Side-Chain Liquid Crystal Polymer in Nematic Solution.” <i>Rheologica Acta</i> 36, no. 6 (1997): 618–27. <a href=\"https://doi.org/10.1007/bf00367357\">https://doi.org/10.1007/bf00367357</a>.","ieee":"H. Siebert, D. A. Grabowski, and C. Schmidt, “Rheo-NMR study of a non-flow-aligning side-chain liquid crystal polymer in nematic solution,” <i>Rheologica Acta</i>, vol. 36, no. 6, pp. 618–627, 1997, doi: <a href=\"https://doi.org/10.1007/bf00367357\">10.1007/bf00367357</a>.","apa":"Siebert, H., Grabowski, D. A., &#38; Schmidt, C. (1997). Rheo-NMR study of a non-flow-aligning side-chain liquid crystal polymer in nematic solution. <i>Rheologica Acta</i>, <i>36</i>(6), 618–627. <a href=\"https://doi.org/10.1007/bf00367357\">https://doi.org/10.1007/bf00367357</a>"},"status":"public","user_id":"466","volume":36,"page":"618-627","_id":"35376","publisher":"Springer Science and Business Media LLC","extern":"1","publication":"Rheologica Acta","issue":"6","keyword":["Condensed Matter Physics","General Materials Science"],"type":"journal_article","department":[{"_id":"2"},{"_id":"315"}],"date_created":"2023-01-06T13:20:45Z","publication_status":"published","date_updated":"2023-01-07T11:09:50Z","article_type":"original","intvolume":"        36","year":"1997","title":"Rheo-NMR study of a non-flow-aligning side-chain liquid crystal polymer in nematic solution","publication_identifier":{"issn":["0035-4511","1435-1528"]},"author":[{"last_name":"Siebert","first_name":"Hartmut","full_name":"Siebert, Hartmut"},{"first_name":"David A.","last_name":"Grabowski","full_name":"Grabowski, David A."},{"first_name":"Claudia","last_name":"Schmidt","orcid":"0000-0003-3179-9997","full_name":"Schmidt, Claudia","id":"466"}],"doi":"10.1007/bf00367357","language":[{"iso":"eng"}]},{"citation":{"ieee":"M. Lukaschek, S. Müller, A. Hasennindl, C. Schmidt, and D. A. Grabowski, “Lamellar lyomesophases under shear as studied by deuterium nuclear magnetic resonance,” <i>Colloid &#38;amp; Polymer Science</i>, vol. 274, no. 1, pp. 1–7, 1996, doi: <a href=\"https://doi.org/10.1007/bf00658902\">10.1007/bf00658902</a>.","apa":"Lukaschek, M., Müller, S., Hasennindl, A., Schmidt, C., &#38; Grabowski, D. A. (1996). Lamellar lyomesophases under shear as studied by deuterium nuclear magnetic resonance. <i>Colloid &#38;amp; Polymer Science</i>, <i>274</i>(1), 1–7. <a href=\"https://doi.org/10.1007/bf00658902\">https://doi.org/10.1007/bf00658902</a>","chicago":"Lukaschek, M., S. Müller, A. Hasennindl, Claudia Schmidt, and D. A. Grabowski. “Lamellar Lyomesophases under Shear as Studied by Deuterium Nuclear Magnetic Resonance.” <i>Colloid &#38;amp; Polymer Science</i> 274, no. 1 (1996): 1–7. <a href=\"https://doi.org/10.1007/bf00658902\">https://doi.org/10.1007/bf00658902</a>.","short":"M. Lukaschek, S. Müller, A. Hasennindl, C. Schmidt, D.A. Grabowski, Colloid &#38;amp; Polymer Science 274 (1996) 1–7.","mla":"Lukaschek, M., et al. “Lamellar Lyomesophases under Shear as Studied by Deuterium Nuclear Magnetic Resonance.” <i>Colloid &#38;amp; Polymer Science</i>, vol. 274, no. 1, Springer Science and Business Media LLC, 1996, pp. 1–7, doi:<a href=\"https://doi.org/10.1007/bf00658902\">10.1007/bf00658902</a>.","bibtex":"@article{Lukaschek_Müller_Hasennindl_Schmidt_Grabowski_1996, title={Lamellar lyomesophases under shear as studied by deuterium nuclear magnetic resonance}, volume={274}, DOI={<a href=\"https://doi.org/10.1007/bf00658902\">10.1007/bf00658902</a>}, number={1}, journal={Colloid &#38;amp; Polymer Science}, publisher={Springer Science and Business Media LLC}, author={Lukaschek, M. and Müller, S. and Hasennindl, A. and Schmidt, Claudia and Grabowski, D. A.}, year={1996}, pages={1–7} }","ama":"Lukaschek M, Müller S, Hasennindl A, Schmidt C, Grabowski DA. Lamellar lyomesophases under shear as studied by deuterium nuclear magnetic resonance. <i>Colloid &#38;amp; Polymer Science</i>. 1996;274(1):1-7. doi:<a href=\"https://doi.org/10.1007/bf00658902\">10.1007/bf00658902</a>"},"quality_controlled":"1","status":"public","page":"1-7","publisher":"Springer Science and Business Media LLC","_id":"35378","user_id":"466","volume":274,"publication":"Colloid &amp; Polymer Science","issue":"1","extern":"1","date_created":"2023-01-06T13:21:12Z","keyword":["Materials Chemistry","Colloid and Surface Chemistry","Polymers and Plastics","Physical and Theoretical Chemistry"],"type":"journal_article","department":[{"_id":"2"},{"_id":"315"}],"year":"1996","title":"Lamellar lyomesophases under shear as studied by deuterium nuclear magnetic resonance","author":[{"first_name":"M.","last_name":"Lukaschek","full_name":"Lukaschek, M."},{"full_name":"Müller, S.","last_name":"Müller","first_name":"S."},{"last_name":"Hasennindl","first_name":"A.","full_name":"Hasennindl, A."},{"full_name":"Schmidt, Claudia","orcid":"0000-0003-3179-9997","last_name":"Schmidt","first_name":"Claudia","id":"466"},{"first_name":"D. 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Solid State NMR Investigation of C1-Deuterated Poly(di-<i>n</i>-hexylsilylene). <i>Macromolecules</i>. 1996;29(9):3320-3322. doi:<a href=\"https://doi.org/10.1021/ma951449t\">10.1021/ma951449t</a>","bibtex":"@article{Müller_Schmidt_Frey_1996, title={Solid State NMR Investigation of C1-Deuterated Poly(di-<i>n</i>-hexylsilylene)}, volume={29}, DOI={<a href=\"https://doi.org/10.1021/ma951449t\">10.1021/ma951449t</a>}, number={9}, journal={Macromolecules}, publisher={American Chemical Society (ACS)}, author={Müller, Christian and Schmidt, Claudia and Frey, Holger}, year={1996}, pages={3320–3322} }","mla":"Müller, Christian, et al. “Solid State NMR Investigation of C1-Deuterated Poly(Di-<i>n</i>-Hexylsilylene).” <i>Macromolecules</i>, vol. 29, no. 9, American Chemical Society (ACS), 1996, pp. 3320–22, doi:<a href=\"https://doi.org/10.1021/ma951449t\">10.1021/ma951449t</a>."}},{"quality_controlled":"1","citation":{"apa":"Glöckner, H. (1996). 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New York u.a.: Springer 1987-1995: Review,” <i>Sudhoffs Archiv</i>, vol. 80, no. 1, p. 122, 1996.","apa":"Hagengruber, R. E. (1996). A Review of A History of Women Philosophers. Hrsg. von Mary Ellen Waithe. New York u.a.: Springer 1987-1995: Review. <i>Sudhoffs Archiv</i>, <i>80</i>(1), 122."},"extern":"1","quality_controlled":"1","date_created":"2019-07-19T11:08:40Z","type":"journal_article","department":[{"_id":"519"}],"status":"public","year":"1996","title":"A Review of A History of Women Philosophers. Hrsg. von Mary Ellen Waithe. New York u.a.: Springer 1987-1995: Review","author":[{"id":"198","full_name":"Hagengruber, Ruth Edith","first_name":"Ruth Edith","last_name":"Hagengruber","orcid":"https://orcid.org/0000-0003-3360-6335"}],"date_updated":"2025-12-29T10:23:46Z","intvolume":"        80","page":"122","_id":"12808","language":[{"iso":"eng"}],"user_id":"198","volume":80},{"quality_controlled":"1","citation":{"ama":"Alt H, Behrends B, Blömer J. Approximate matching of polygonal shapes. <i>Annals of Mathematics and Artificial Intelligence</i>. 1995;13(3).","short":"H. Alt, B. Behrends, J. Blömer, Annals of Mathematics and Artificial Intelligence 13 (1995).","chicago":"Alt, Helmut, Bernd Behrends, and Johannes Blömer. “Approximate Matching of Polygonal Shapes.” <i>Annals of Mathematics and Artificial Intelligence</i> 13, no. 3 (1995).","bibtex":"@article{Alt_Behrends_Blömer_1995, title={Approximate matching of polygonal shapes}, volume={13}, number={3}, journal={Annals of Mathematics and Artificial Intelligence}, author={Alt, Helmut and Behrends, Bernd and Blömer, Johannes}, year={1995} }","mla":"Alt, Helmut, et al. “Approximate Matching of Polygonal Shapes.” <i>Annals of Mathematics and Artificial Intelligence</i>, vol. 13, no. 3, 1995.","apa":"Alt, H., Behrends, B., &#38; Blömer, J. (1995). Approximate matching of polygonal shapes. <i>Annals of Mathematics and Artificial Intelligence</i>, <i>13</i>(3).","ieee":"H. Alt, B. Behrends, and J. Blömer, “Approximate matching of polygonal shapes,” <i>Annals of Mathematics and Artificial Intelligence</i>, vol. 13, no. 3, 1995."},"status":"public","user_id":"25078","volume":13,"_id":"3037","extern":"1","abstract":[{"lang":"eng","text":"For two given simple polygonsP, Q, the problem is to determine a rigid motionI ofQ giving the best possible match betweenP andQ, i.e. minimizing the Hausdorff distance betweenP andI(Q). Faster algorithms as the one for the general problem are obtained for special cases, namely thatI is restricted to translations or even to translations only in one specified direction. It turns out that determining pseudo-optimal solutions, i.e. ones that differ from the optimum by just a constant factor, can be done much more efficiently than determining optimal solutions. In the most general case, the algorithm for the pseudo-optimal solution is based on the surprising fact that for the optimal possible match betweenP and an imageI(Q) ofQ, the distance between the centroids of the edges of the convex hulls ofP andI(Q) is a constant multiple of the Hausdorff distance betweenP andI(Q). It is also shown that the Hausdorff distance between two polygons can be determined in timeO(n logn), wheren is the total number of vertices."}],"publication":"Annals of Mathematics and Artificial Intelligence","issue":"3","type":"journal_article","department":[{"_id":"64"}],"date_created":"2018-06-05T08:38:41Z","publication_status":"published","date_updated":"2022-01-06T06:58:53Z","intvolume":"        13","title":"Approximate matching of polygonal shapes","year":"1995","author":[{"full_name":"Alt, Helmut","first_name":"Helmut","last_name":"Alt"},{"first_name":"Bernd","last_name":"Behrends","full_name":"Behrends, Bernd"},{"full_name":"Blömer, Johannes","last_name":"Blömer","first_name":"Johannes","id":"23"}],"publication_identifier":{"issn":["1573-7470"]},"language":[{"iso":"eng"}]},{"extern":"1","abstract":[{"text":"Inspired by earlier work on the band-gap problem in insulators, we reexamine the treatment of strongly correlated Hubbard-type models within density-functional theory. In contrast to previous studies, the density is fully parametrized by occupation numbers and overlap of orbitals centered at neighboring atomic sites, as is the local potential by the hopping matrix. This corresponds to a good formal agreement between density-functional theory in real space and second quantization. It is shown that density-functional theory is formally applicable to such systems and the theoretical framework is provided. The question of noninteracting v representability is studied numerically for finite one-dimnsional clusters, for which exact results are available, and qualitatively for infinite systems. This leads to the conclusion that the electron density corresponding to interacting systems of the type studied here is in fact not noninteracting v representable because the Kohn-Sham electrons are unable to reproduce the correlation-induced localization correctly.","lang":"eng"}],"issue":"16","publication":"Physical Review B","type":"journal_article","file":[{"description":"© 1995 American Physical Society","date_created":"2020-08-28T22:11:01Z","creator":"schindlm","title":"Density-functional theory and the v-representability problem for model strongly correlated electron systems","file_id":"18631","content_type":"application/pdf","relation":"main_file","date_updated":"2020-08-30T16:27:22Z","file_name":"PhysRevB.51.10427.pdf","access_level":"open_access","file_size":541229}],"date_created":"2020-08-28T22:09:57Z","publication_status":"published","date_updated":"2022-11-11T07:01:30Z","article_type":"original","intvolume":"        51","year":"1995","title":"Density-functional theory and the v-representability problem for model strongly correlated electron systems","author":[{"id":"458","full_name":"Schindlmayr, Arno","first_name":"Arno","orcid":"0000-0002-4855-071X","last_name":"Schindlmayr"},{"first_name":"Rex William","last_name":"Godby","full_name":"Godby, Rex William"}],"publication_identifier":{"eissn":["1095-3795"],"issn":["0163-1829"]},"doi":"10.1103/PhysRevB.51.10427","pmid":"1","language":[{"iso":"eng"}],"quality_controlled":"1","file_date_updated":"2020-08-30T16:27:22Z","isi":"1","citation":{"short":"A. Schindlmayr, R.W. Godby, Physical Review B 51 (1995) 10427–10435.","chicago":"Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and the v-Representability Problem for Model Strongly Correlated Electron Systems.” <i>Physical Review B</i> 51, no. 16 (1995): 10427–35. <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">https://doi.org/10.1103/PhysRevB.51.10427</a>.","apa":"Schindlmayr, A., &#38; Godby, R. W. (1995). Density-functional theory and the v-representability problem for model strongly correlated electron systems. <i>Physical Review B</i>, <i>51</i>(16), 10427–10435. <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">https://doi.org/10.1103/PhysRevB.51.10427</a>","ieee":"A. Schindlmayr and R. W. Godby, “Density-functional theory and the v-representability problem for model strongly correlated electron systems,” <i>Physical Review B</i>, vol. 51, no. 16, pp. 10427–10435, 1995, doi: <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>.","ama":"Schindlmayr A, Godby RW. Density-functional theory and the v-representability problem for model strongly correlated electron systems. <i>Physical Review B</i>. 1995;51(16):10427-10435. doi:<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>","bibtex":"@article{Schindlmayr_Godby_1995, title={Density-functional theory and the v-representability problem for model strongly correlated electron systems}, volume={51}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>}, number={16}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno and Godby, Rex William}, year={1995}, pages={10427–10435} }","mla":"Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and the v-Representability Problem for Model Strongly Correlated Electron Systems.” <i>Physical Review B</i>, vol. 51, no. 16, American Physical Society, 1995, pp. 10427–35, doi:<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>."},"oa":"1","external_id":{"arxiv":["cond-mat/9709266"],"isi":["A1995QW28400017"],"pmid":["9977737"]},"has_accepted_license":"1","status":"public","user_id":"458","ddc":["530"],"volume":51,"page":"10427-10435","_id":"18630","publisher":"American Physical Society"},{"doi":"10.1021/j100026a020","language":[{"iso":"eng"}],"article_type":"original","intvolume":"        99","publication_status":"published","date_updated":"2023-01-07T11:07:39Z","publication_identifier":{"issn":["0022-3654","1541-5740"]},"author":[{"id":"466","first_name":"Claudia","orcid":"0000-0003-3179-9997","last_name":"Schmidt","full_name":"Schmidt, Claudia"},{"full_name":"Rosen, M. E.","first_name":"M. E.","last_name":"Rosen"},{"first_name":"D. F.","last_name":"Caplan","full_name":"Caplan, D. F."},{"first_name":"A.","last_name":"Pines","full_name":"Pines, A."},{"full_name":"Quinton, M. F.","first_name":"M. F.","last_name":"Quinton"}],"year":"1995","title":"Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24","department":[{"_id":"2"},{"_id":"315"}],"keyword":["Physical and Theoretical Chemistry","General Engineering"],"type":"journal_article","date_created":"2023-01-06T13:22:16Z","extern":"1","publication":"The Journal of Physical Chemistry","issue":"26","volume":99,"user_id":"466","_id":"35381","publisher":"American Chemical Society (ACS)","page":"10565-10572","status":"public","quality_controlled":"1","citation":{"bibtex":"@article{Schmidt_Rosen_Caplan_Pines_Quinton_1995, title={Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24}, volume={99}, DOI={<a href=\"https://doi.org/10.1021/j100026a020\">10.1021/j100026a020</a>}, number={26}, journal={The Journal of Physical Chemistry}, publisher={American Chemical Society (ACS)}, author={Schmidt, Claudia and Rosen, M. E. and Caplan, D. F. and Pines, A. and Quinton, M. F.}, year={1995}, pages={10565–10572} }","ama":"Schmidt C, Rosen ME, Caplan DF, Pines A, Quinton MF. Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24. <i>The Journal of Physical Chemistry</i>. 1995;99(26):10565-10572. doi:<a href=\"https://doi.org/10.1021/j100026a020\">10.1021/j100026a020</a>","mla":"Schmidt, Claudia, et al. “Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24.” <i>The Journal of Physical Chemistry</i>, vol. 99, no. 26, American Chemical Society (ACS), 1995, pp. 10565–72, doi:<a href=\"https://doi.org/10.1021/j100026a020\">10.1021/j100026a020</a>.","chicago":"Schmidt, Claudia, M. E. Rosen, D. F. Caplan, A. Pines, and M. F. Quinton. “Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24.” <i>The Journal of Physical Chemistry</i> 99, no. 26 (1995): 10565–72. <a href=\"https://doi.org/10.1021/j100026a020\">https://doi.org/10.1021/j100026a020</a>.","short":"C. Schmidt, M.E. Rosen, D.F. Caplan, A. Pines, M.F. Quinton, The Journal of Physical Chemistry 99 (1995) 10565–10572.","ieee":"C. Schmidt, M. E. Rosen, D. F. Caplan, A. Pines, and M. F. Quinton, “Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24,” <i>The Journal of Physical Chemistry</i>, vol. 99, no. 26, pp. 10565–10572, 1995, doi: <a href=\"https://doi.org/10.1021/j100026a020\">10.1021/j100026a020</a>.","apa":"Schmidt, C., Rosen, M. E., Caplan, D. F., Pines, A., &#38; Quinton, M. F. (1995). Orientation and Motion of Tetrahydrofuran in Graphite Intercalation Compounds: Proton NMR Studies of Cs(THF)1.3C24 and K(THF)2.5C24. <i>The Journal of Physical Chemistry</i>, <i>99</i>(26), 10565–10572. <a href=\"https://doi.org/10.1021/j100026a020\">https://doi.org/10.1021/j100026a020</a>"}},{"language":[{"iso":"eng"}],"doi":"10.1021/la00009a050","publication_identifier":{"issn":["0743-7463","1520-5827"]},"author":[{"full_name":"Lukaschek, Michail","first_name":"Michail","last_name":"Lukaschek"},{"full_name":"Grabowski, David A.","last_name":"Grabowski","first_name":"David A."},{"last_name":"Schmidt","orcid":"0000-0003-3179-9997","first_name":"Claudia","full_name":"Schmidt, Claudia","id":"466"}],"title":"Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR","year":"1995","article_type":"original","intvolume":"        11","publication_status":"published","date_updated":"2023-01-07T11:07:05Z","date_created":"2023-01-06T13:22:29Z","department":[{"_id":"2"},{"_id":"315"}],"keyword":["Electrochemistry","Spectroscopy","Surfaces and Interfaces","Condensed Matter Physics","General Materials Science"],"type":"journal_article","publication":"Langmuir","issue":"9","extern":"1","_id":"35382","publisher":"American Chemical Society (ACS)","page":"3590-3594","volume":11,"user_id":"466","status":"public","citation":{"apa":"Lukaschek, M., Grabowski, D. A., &#38; Schmidt, C. (1995). Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR. <i>Langmuir</i>, <i>11</i>(9), 3590–3594. <a href=\"https://doi.org/10.1021/la00009a050\">https://doi.org/10.1021/la00009a050</a>","ieee":"M. Lukaschek, D. A. Grabowski, and C. Schmidt, “Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR,” <i>Langmuir</i>, vol. 11, no. 9, pp. 3590–3594, 1995, doi: <a href=\"https://doi.org/10.1021/la00009a050\">10.1021/la00009a050</a>.","short":"M. Lukaschek, D.A. Grabowski, C. Schmidt, Langmuir 11 (1995) 3590–3594.","chicago":"Lukaschek, Michail, David A. Grabowski, and Claudia Schmidt. “Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR.” <i>Langmuir</i> 11, no. 9 (1995): 3590–94. <a href=\"https://doi.org/10.1021/la00009a050\">https://doi.org/10.1021/la00009a050</a>.","mla":"Lukaschek, Michail, et al. “Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR.” <i>Langmuir</i>, vol. 11, no. 9, American Chemical Society (ACS), 1995, pp. 3590–94, doi:<a href=\"https://doi.org/10.1021/la00009a050\">10.1021/la00009a050</a>.","ama":"Lukaschek M, Grabowski DA, Schmidt C. Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR. <i>Langmuir</i>. 1995;11(9):3590-3594. doi:<a href=\"https://doi.org/10.1021/la00009a050\">10.1021/la00009a050</a>","bibtex":"@article{Lukaschek_Grabowski_Schmidt_1995, title={Shear-Induced Alignment of a Hexagonal Lyotropic Liquid Crystal as Studied by Rheo-NMR}, volume={11}, DOI={<a href=\"https://doi.org/10.1021/la00009a050\">10.1021/la00009a050</a>}, number={9}, journal={Langmuir}, publisher={American Chemical Society (ACS)}, author={Lukaschek, Michail and Grabowski, David A. and Schmidt, Claudia}, year={1995}, pages={3590–3594} }"},"quality_controlled":"1"},{"publication_identifier":{"issn":["1022-1336","1521-3927"]},"author":[{"full_name":"Fischer, Peter","first_name":"Peter","last_name":"Fischer"},{"first_name":"Claudia","orcid":"0000-0003-3179-9997","last_name":"Schmidt","full_name":"Schmidt, Claudia","id":"466"},{"full_name":"Finkelmann, Heino","last_name":"Finkelmann","first_name":"Heino"}],"title":"Amphiphilic liquid-crystalline networks — phase behavior and alignment by mechanical fields","year":"1995","article_type":"original","intvolume":"        16","publication_status":"published","date_updated":"2023-01-07T11:06:27Z","language":[{"iso":"eng"}],"doi":"10.1002/marc.1995.030160605","issue":"6","publication":"Macromolecular Rapid Communications","extern":"1","date_created":"2023-01-06T13:22:01Z","department":[{"_id":"2"},{"_id":"315"}],"type":"journal_article","keyword":["Materials Chemistry","Polymers and Plastics","Organic Chemistry"],"status":"public","publisher":"Wiley","_id":"35380","page":"435-447","volume":16,"user_id":"466","citation":{"ieee":"P. Fischer, C. Schmidt, and H. Finkelmann, “Amphiphilic liquid-crystalline networks — phase behavior and alignment by mechanical fields,” <i>Macromolecular Rapid Communications</i>, vol. 16, no. 6, pp. 435–447, 1995, doi: <a href=\"https://doi.org/10.1002/marc.1995.030160605\">10.1002/marc.1995.030160605</a>.","apa":"Fischer, P., Schmidt, C., &#38; Finkelmann, H. (1995). Amphiphilic liquid-crystalline networks — phase behavior and alignment by mechanical fields. <i>Macromolecular Rapid Communications</i>, <i>16</i>(6), 435–447. <a href=\"https://doi.org/10.1002/marc.1995.030160605\">https://doi.org/10.1002/marc.1995.030160605</a>","chicago":"Fischer, Peter, Claudia Schmidt, and Heino Finkelmann. “Amphiphilic Liquid-Crystalline Networks — Phase Behavior and Alignment by Mechanical Fields.” <i>Macromolecular Rapid Communications</i> 16, no. 6 (1995): 435–47. <a href=\"https://doi.org/10.1002/marc.1995.030160605\">https://doi.org/10.1002/marc.1995.030160605</a>.","short":"P. Fischer, C. Schmidt, H. Finkelmann, Macromolecular Rapid Communications 16 (1995) 435–447.","mla":"Fischer, Peter, et al. “Amphiphilic Liquid-Crystalline Networks — Phase Behavior and Alignment by Mechanical Fields.” <i>Macromolecular Rapid Communications</i>, vol. 16, no. 6, Wiley, 1995, pp. 435–47, doi:<a href=\"https://doi.org/10.1002/marc.1995.030160605\">10.1002/marc.1995.030160605</a>.","bibtex":"@article{Fischer_Schmidt_Finkelmann_1995, title={Amphiphilic liquid-crystalline networks — phase behavior and alignment by mechanical fields}, volume={16}, DOI={<a href=\"https://doi.org/10.1002/marc.1995.030160605\">10.1002/marc.1995.030160605</a>}, number={6}, journal={Macromolecular Rapid Communications}, publisher={Wiley}, author={Fischer, Peter and Schmidt, Claudia and Finkelmann, Heino}, year={1995}, pages={435–447} }","ama":"Fischer P, Schmidt C, Finkelmann H. Amphiphilic liquid-crystalline networks — phase behavior and alignment by mechanical fields. <i>Macromolecular Rapid Communications</i>. 1995;16(6):435-447. doi:<a href=\"https://doi.org/10.1002/marc.1995.030160605\">10.1002/marc.1995.030160605</a>"},"quality_controlled":"1"},{"citation":{"short":"K. Kratzat, C. Schmidt, H. Finkelmann, Journal of Colloid and Interface Science 163 (1994) 190–198.","chicago":"Kratzat, Krystyna, Claudia Schmidt, and Heino Finkelmann. “A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3.” <i>Journal of Colloid and Interface Science</i> 163, no. 1 (1994): 190–98. <a href=\"https://doi.org/10.1006/jcis.1994.1095\">https://doi.org/10.1006/jcis.1994.1095</a>.","apa":"Kratzat, K., Schmidt, C., &#38; Finkelmann, H. (1994). A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3. <i>Journal of Colloid and Interface Science</i>, <i>163</i>(1), 190–198. <a href=\"https://doi.org/10.1006/jcis.1994.1095\">https://doi.org/10.1006/jcis.1994.1095</a>","ieee":"K. Kratzat, C. Schmidt, and H. Finkelmann, “A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3,” <i>Journal of Colloid and Interface Science</i>, vol. 163, no. 1, pp. 190–198, 1994, doi: <a href=\"https://doi.org/10.1006/jcis.1994.1095\">10.1006/jcis.1994.1095</a>.","ama":"Kratzat K, Schmidt C, Finkelmann H. A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3. <i>Journal of Colloid and Interface Science</i>. 1994;163(1):190-198. doi:<a href=\"https://doi.org/10.1006/jcis.1994.1095\">10.1006/jcis.1994.1095</a>","bibtex":"@article{Kratzat_Schmidt_Finkelmann_1994, title={A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3}, volume={163}, DOI={<a href=\"https://doi.org/10.1006/jcis.1994.1095\">10.1006/jcis.1994.1095</a>}, number={1}, journal={Journal of Colloid and Interface Science}, publisher={Elsevier BV}, author={Kratzat, Krystyna and Schmidt, Claudia and Finkelmann, Heino}, year={1994}, pages={190–198} }","mla":"Kratzat, Krystyna, et al. “A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3.” <i>Journal of Colloid and Interface Science</i>, vol. 163, no. 1, Elsevier BV, 1994, pp. 190–98, doi:<a href=\"https://doi.org/10.1006/jcis.1994.1095\">10.1006/jcis.1994.1095</a>."},"quality_controlled":"1","_id":"35384","publisher":"Elsevier BV","page":"190-198","volume":163,"user_id":"466","status":"public","date_created":"2023-01-06T13:22:57Z","department":[{"_id":"2"},{"_id":"315"}],"type":"journal_article","keyword":["Colloid and Surface Chemistry","Surfaces","Coatings and Films","Biomaterials","Electronic","Optical and Magnetic Materials"],"publication":"Journal of Colloid and Interface Science","issue":"1","extern":"1","language":[{"iso":"eng"}],"doi":"10.1006/jcis.1994.1095","publication_identifier":{"issn":["0021-9797"]},"author":[{"full_name":"Kratzat, Krystyna","last_name":"Kratzat","first_name":"Krystyna"},{"id":"466","full_name":"Schmidt, Claudia","first_name":"Claudia","orcid":"0000-0003-3179-9997","last_name":"Schmidt"},{"last_name":"Finkelmann","first_name":"Heino","full_name":"Finkelmann, Heino"}],"title":"A Doubly Branched Nonionic Oligooxyethylene V-Amphiphile: Effect of Molecular Geometry on Liquid-Crystalline Phase Behavior, 3","year":"1994","article_type":"original","intvolume":"       163","publication_status":"published","date_updated":"2023-01-07T10:55:06Z"},{"quality_controlled":"1","citation":{"chicago":"Grabowski, D. A., and Claudia Schmidt. “Simultaneous Measurement of Shear Viscosity and Director Orientation of a Side-Chain Liquid-Crystalline Polymer by Rheo-NMR.” <i>Macromolecules</i> 27, no. 9 (1994): 2632–34. <a href=\"https://doi.org/10.1021/ma00087a037\">https://doi.org/10.1021/ma00087a037</a>.","short":"D.A. Grabowski, C. Schmidt, Macromolecules 27 (1994) 2632–2634.","ieee":"D. A. Grabowski and C. Schmidt, “Simultaneous Measurement of Shear Viscosity and Director Orientation of a Side-Chain Liquid-Crystalline Polymer by Rheo-NMR,” <i>Macromolecules</i>, vol. 27, no. 9, pp. 2632–2634, 1994, doi: <a href=\"https://doi.org/10.1021/ma00087a037\">10.1021/ma00087a037</a>.","apa":"Grabowski, D. A., &#38; Schmidt, C. (1994). Simultaneous Measurement of Shear Viscosity and Director Orientation of a Side-Chain Liquid-Crystalline Polymer by Rheo-NMR. <i>Macromolecules</i>, <i>27</i>(9), 2632–2634. <a href=\"https://doi.org/10.1021/ma00087a037\">https://doi.org/10.1021/ma00087a037</a>","bibtex":"@article{Grabowski_Schmidt_1994, title={Simultaneous Measurement of Shear Viscosity and Director Orientation of a Side-Chain Liquid-Crystalline Polymer by Rheo-NMR}, volume={27}, DOI={<a href=\"https://doi.org/10.1021/ma00087a037\">10.1021/ma00087a037</a>}, number={9}, journal={Macromolecules}, publisher={American Chemical Society (ACS)}, author={Grabowski, D. A. and Schmidt, Claudia}, year={1994}, pages={2632–2634} }","ama":"Grabowski DA, Schmidt C. Simultaneous Measurement of Shear Viscosity and Director Orientation of a Side-Chain Liquid-Crystalline Polymer by Rheo-NMR. <i>Macromolecules</i>. 1994;27(9):2632-2634. doi:<a href=\"https://doi.org/10.1021/ma00087a037\">10.1021/ma00087a037</a>","mla":"Grabowski, D. 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