[{"publication_identifier":{"issn":["1815-0659"]},"author":[{"full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"year":"2015","title":"A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian","intvolume":"        11","date_updated":"2023-01-24T22:15:37Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.3842/sigma.2015.013","issue":"013","publication":"Symmetry, Integrability and Geometry: Methods and Applications","date_created":"2023-01-23T08:18:48Z","department":[{"_id":"555"}],"keyword":["Geometry and Topology","Mathematical Physics","Analysis"],"type":"journal_article","status":"public","_id":"38037","publisher":"SIGMA (Symmetry, Integrability and Geometry: Methods and Application)","page":"18pp","volume":11,"user_id":"93826","citation":{"mla":"Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, vol. 11, no. 013, SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2015, p. 18pp, doi:<a href=\"https://doi.org/10.3842/sigma.2015.013\">10.3842/sigma.2015.013</a>.","bibtex":"@article{Rösler_Voit_2015, title={A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian}, volume={11}, DOI={<a href=\"https://doi.org/10.3842/sigma.2015.013\">10.3842/sigma.2015.013</a>}, number={013}, journal={Symmetry, Integrability and Geometry: Methods and Applications}, publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}, author={Rösler, Margit and Voit, Michael}, year={2015}, pages={18pp} }","ama":"Rösler M, Voit M. A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>. 2015;11(013):18pp. doi:<a href=\"https://doi.org/10.3842/sigma.2015.013\">10.3842/sigma.2015.013</a>","ieee":"M. Rösler and M. Voit, “A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian,” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, vol. 11, no. 013, p. 18pp, 2015, doi: <a href=\"https://doi.org/10.3842/sigma.2015.013\">10.3842/sigma.2015.013</a>.","apa":"Rösler, M., &#38; Voit, M. (2015). A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, <i>11</i>(013), 18pp. <a href=\"https://doi.org/10.3842/sigma.2015.013\">https://doi.org/10.3842/sigma.2015.013</a>","chicago":"Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i> 11, no. 013 (2015): 18pp. <a href=\"https://doi.org/10.3842/sigma.2015.013\">https://doi.org/10.3842/sigma.2015.013</a>.","short":"M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015) 18pp."}},{"_id":"31294","publisher":"AIP Publishing","volume":55,"user_id":"49178","status":"public","external_id":{"arxiv":["1311.2436 "]},"citation":{"short":"T. Weich, Journal of Mathematical Physics 55 (2014).","chicago":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i> 55, no. 10 (2014). <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>.","apa":"Weich, T. (2014). Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>, <i>55</i>(10), Article 101501. <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>","ieee":"T. Weich, “Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, Art. no. 101501, 2014, doi: <a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","ama":"Weich T. Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>. 2014;55(10). doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>","bibtex":"@article{Weich_2014, title={Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators}, volume={55}, DOI={<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>}, number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Weich, Tobias}, year={2014} }","mla":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, 101501, AIP Publishing, 2014, doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>."},"language":[{"iso":"eng"}],"article_number":"101501","doi":"10.1063/1.4896698","publication_identifier":{"issn":["0022-2488","1089-7658"]},"author":[{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"year":"2014","title":"Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators","intvolume":"        55","publication_status":"published","date_updated":"2022-05-19T10:16:38Z","date_created":"2022-05-17T12:57:00Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"issue":"10","publication":"Journal of Mathematical Physics"},{"issue":"8","publication":"Nonlinearity","date_created":"2022-05-17T12:58:25Z","department":[{"_id":"10"},{"_id":"548"},{"_id":"288"}],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","publication_identifier":{"issn":["0951-7715","1361-6544"]},"author":[{"full_name":"Barkhofen, Sonja","last_name":"Barkhofen","first_name":"Sonja","id":"48188"},{"full_name":"Faure, F","last_name":"Faure","first_name":"F"},{"id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias"}],"title":"Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum","year":"2014","intvolume":"        27","date_updated":"2023-01-19T08:56:12Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1088/0951-7715/27/8/1829","citation":{"ieee":"S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum,” <i>Nonlinearity</i>, vol. 27, no. 8, pp. 1829–1858, 2014, doi: <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>.","apa":"Barkhofen, S., Faure, F., &#38; Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>, <i>27</i>(8), 1829–1858. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>","chicago":"Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i> 27, no. 8 (2014): 1829–58. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>.","short":"S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.","mla":"Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>, vol. 27, no. 8, IOP Publishing, 2014, pp. 1829–58, doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>.","bibtex":"@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}, volume={27}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen, Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }","ama":"Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>. 2014;27(8):1829-1858. doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>"},"external_id":{"arxiv":["1403.7771 "]},"status":"public","_id":"31296","publisher":"IOP Publishing","page":"1829-1858","volume":27,"user_id":"48188"},{"status":"public","user_id":"466","volume":63,"page":"81-87","_id":"35349","publisher":"Walter de Gruyter GmbH","quality_controlled":"1","citation":{"bibtex":"@article{Sinyavsky_Maćkowiak_Schmidt_2008, title={Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples}, volume={63}, DOI={<a href=\"https://doi.org/10.1515/zna-2008-1-214\">10.1515/zna-2008-1-214</a>}, number={1–2}, journal={Zeitschrift für Naturforschung A}, publisher={Walter de Gruyter GmbH}, author={Sinyavsky, Nikolay and Maćkowiak, Mariusz and Schmidt, Claudia}, year={2008}, pages={81–87} }","ama":"Sinyavsky N, Maćkowiak M, Schmidt C. Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples. <i>Zeitschrift für Naturforschung A</i>. 2008;63(1-2):81-87. doi:<a href=\"https://doi.org/10.1515/zna-2008-1-214\">10.1515/zna-2008-1-214</a>","mla":"Sinyavsky, Nikolay, et al. “Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples.” <i>Zeitschrift Für Naturforschung A</i>, vol. 63, no. 1–2, Walter de Gruyter GmbH, 2008, pp. 81–87, doi:<a href=\"https://doi.org/10.1515/zna-2008-1-214\">10.1515/zna-2008-1-214</a>.","short":"N. Sinyavsky, M. Maćkowiak, C. Schmidt, Zeitschrift Für Naturforschung A 63 (2008) 81–87.","chicago":"Sinyavsky, Nikolay, Mariusz Maćkowiak, and Claudia Schmidt. “Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples.” <i>Zeitschrift Für Naturforschung A</i> 63, no. 1–2 (2008): 81–87. <a href=\"https://doi.org/10.1515/zna-2008-1-214\">https://doi.org/10.1515/zna-2008-1-214</a>.","ieee":"N. Sinyavsky, M. Maćkowiak, and C. Schmidt, “Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples,” <i>Zeitschrift für Naturforschung A</i>, vol. 63, no. 1–2, pp. 81–87, 2008, doi: <a href=\"https://doi.org/10.1515/zna-2008-1-214\">10.1515/zna-2008-1-214</a>.","apa":"Sinyavsky, N., Maćkowiak, M., &#38; Schmidt, C. (2008). Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples. <i>Zeitschrift Für Naturforschung A</i>, <i>63</i>(1–2), 81–87. <a href=\"https://doi.org/10.1515/zna-2008-1-214\">https://doi.org/10.1515/zna-2008-1-214</a>"},"date_updated":"2023-01-07T11:28:10Z","publication_status":"published","intvolume":"        63","article_type":"original","title":"Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples","year":"2008","author":[{"first_name":"Nikolay","last_name":"Sinyavsky","full_name":"Sinyavsky, Nikolay"},{"last_name":"Maćkowiak","first_name":"Mariusz","full_name":"Maćkowiak, Mariusz"},{"first_name":"Claudia","orcid":"0000-0003-3179-9997","last_name":"Schmidt","full_name":"Schmidt, Claudia","id":"466"}],"publication_identifier":{"issn":["1865-7109","0932-0784"]},"doi":"10.1515/zna-2008-1-214","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:p>The effect of Berry’s phase on the nuclear quadrupole resonance (NQR) spectra of rotating powder samples is studied experimentally, and its application for the determination of the electric field gradient asymmetry η is demonstrated. The NQR frequency splittings, which are observed for the spin 3/2 nucleus of <jats:sup>35</jats:sup>Cl in powder samples of p-dichlorobenzene (C<jats:sub>6</jats:sub>H<jats:sub>4</jats:sub>Cl<jats:sub>2</jats:sub>) and cyanuric chloride (C<jats:sub>3</jats:sub>N<jats:sub>3</jats:sub>Cl<jats:sub>3</jats:sub>), are interpreted as a manifestation of Berry’s phase, associated with the adiabatically changing Hamiltonian due to sample rotation. The accumulation of Berry’s phase during the rotation process is responsible for the observed dependence of the NQR line shape on the rotation frequency and the asymmetry parameter. The proposed method for the determination of η involves the analysis of the NQR powder patterns of the rotating samples.</jats:p>"}],"issue":"1-2","publication":"Zeitschrift für Naturforschung A","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy","Mathematical Physics"],"type":"journal_article","department":[{"_id":"2"},{"_id":"315"}],"date_created":"2023-01-06T13:11:39Z"},{"title":"A Limit Relation for Dunkl-Bessel Functions of Type A and B","year":"2008","publication_identifier":{"issn":["1815-0659"]},"author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"date_updated":"2023-01-26T17:47:57Z","publication_status":"published","intvolume":"         4","language":[{"iso":"eng"}],"doi":"10.3842/sigma.2008.083","issue":"083","publication":"Symmetry, Integrability and Geometry: Methods and Applications","extern":"1","date_created":"2023-01-25T09:50:01Z","keyword":["Geometry and Topology","Mathematical Physics","Analysis"],"type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"9pp","publisher":"SIGMA (Symmetry, Integrability and Geometry: Methods and Application)","_id":"39941","user_id":"93826","volume":4,"citation":{"bibtex":"@article{Rösler_Voit_2008, title={A Limit Relation for Dunkl-Bessel Functions of Type A and B}, volume={4}, DOI={<a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>}, number={083}, journal={Symmetry, Integrability and Geometry: Methods and Applications}, publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}, author={Rösler, Margit and Voit, Michael}, year={2008}, pages={9pp} }","ama":"Rösler M, Voit M. A Limit Relation for Dunkl-Bessel Functions of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>. 2008;4(083):9pp. doi:<a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>","mla":"Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, vol. 4, no. 083, SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2008, p. 9pp, doi:<a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>.","short":"M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.","chicago":"Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i> 4, no. 083 (2008): 9pp. <a href=\"https://doi.org/10.3842/sigma.2008.083\">https://doi.org/10.3842/sigma.2008.083</a>.","ieee":"M. Rösler and M. Voit, “A Limit Relation for Dunkl-Bessel Functions of Type A and B,” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, vol. 4, no. 083, p. 9pp, 2008, doi: <a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>.","apa":"Rösler, M., &#38; Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, <i>4</i>(083), 9pp. <a href=\"https://doi.org/10.3842/sigma.2008.083\">https://doi.org/10.3842/sigma.2008.083</a>"}}]