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Wieck, Semiconductor Science and Technology (2020)."},"publication_status":"published","publication_identifier":{"issn":["0268-1242","1361-6641"]}},{"department":[{"_id":"15"},{"_id":"230"}],"user_id":"42514","_id":"21797","language":[{"iso":"eng"}],"publication":"Physical Review Materials","type":"journal_article","status":"public","author":[{"full_name":"Riedl, T.","last_name":"Riedl","first_name":"T."},{"full_name":"Kunnathully, V. S.","last_name":"Kunnathully","first_name":"V. S."},{"first_name":"A.","last_name":"Trapp","full_name":"Trapp, A."},{"first_name":"T.","last_name":"Langer","full_name":"Langer, T."},{"id":"37763","full_name":"Reuter, Dirk","last_name":"Reuter","first_name":"Dirk"},{"first_name":"J. K. N.","last_name":"Lindner","full_name":"Lindner, J. K. N."}],"date_created":"2021-04-26T07:27:11Z","date_updated":"2022-01-06T06:55:13Z","doi":"10.1103/physrevmaterials.4.014602","title":"Strain-driven InAs island growth on top of GaAs(111) nanopillars","publication_identifier":{"issn":["2475-9953"]},"publication_status":"published","citation":{"bibtex":"@article{Riedl_Kunnathully_Trapp_Langer_Reuter_Lindner_2020, title={Strain-driven InAs island growth on top of GaAs(111) nanopillars}, DOI={<a href=\"https://doi.org/10.1103/physrevmaterials.4.014602\">10.1103/physrevmaterials.4.014602</a>}, journal={Physical Review Materials}, author={Riedl, T. and Kunnathully, V. S. and Trapp, A. and Langer, T. and Reuter, Dirk and Lindner, J. K. N.}, year={2020} }","mla":"Riedl, T., et al. “Strain-Driven InAs Island Growth on Top of GaAs(111) Nanopillars.” <i>Physical Review Materials</i>, 2020, doi:<a href=\"https://doi.org/10.1103/physrevmaterials.4.014602\">10.1103/physrevmaterials.4.014602</a>.","short":"T. Riedl, V.S. Kunnathully, A. Trapp, T. Langer, D. Reuter, J.K.N. Lindner, Physical Review Materials (2020).","apa":"Riedl, T., Kunnathully, V. S., Trapp, A., Langer, T., Reuter, D., &#38; Lindner, J. K. N. (2020). Strain-driven InAs island growth on top of GaAs(111) nanopillars. <i>Physical Review Materials</i>. <a href=\"https://doi.org/10.1103/physrevmaterials.4.014602\">https://doi.org/10.1103/physrevmaterials.4.014602</a>","ieee":"T. Riedl, V. S. Kunnathully, A. Trapp, T. Langer, D. Reuter, and J. K. N. Lindner, “Strain-driven InAs island growth on top of GaAs(111) nanopillars,” <i>Physical Review Materials</i>, 2020.","chicago":"Riedl, T., V. S. Kunnathully, A. Trapp, T. Langer, Dirk Reuter, and J. K. N. Lindner. “Strain-Driven InAs Island Growth on Top of GaAs(111) Nanopillars.” <i>Physical Review Materials</i>, 2020. <a href=\"https://doi.org/10.1103/physrevmaterials.4.014602\">https://doi.org/10.1103/physrevmaterials.4.014602</a>.","ama":"Riedl T, Kunnathully VS, Trapp A, Langer T, Reuter D, Lindner JKN. Strain-driven InAs island growth on top of GaAs(111) nanopillars. <i>Physical Review Materials</i>. 2020. doi:<a href=\"https://doi.org/10.1103/physrevmaterials.4.014602\">10.1103/physrevmaterials.4.014602</a>"},"year":"2020"},{"type":"journal_article","publication":"Entropy","abstract":[{"lang":"eng","text":"<jats:p>Many dimensionality and model reduction techniques rely on estimating dominant eigenfunctions of associated dynamical operators from data. Important examples include the Koopman operator and its generator, but also the Schrödinger operator. We propose a kernel-based method for the approximation of differential operators in reproducing kernel Hilbert spaces and show how eigenfunctions can be estimated by solving auxiliary matrix eigenvalue problems. The resulting algorithms are applied to molecular dynamics and quantum chemistry examples. Furthermore, we exploit that, under certain conditions, the Schrödinger operator can be transformed into a Kolmogorov backward operator corresponding to a drift-diffusion process and vice versa. This allows us to apply methods developed for the analysis of high-dimensional stochastic differential equations to quantum mechanical systems.</jats:p>"}],"status":"public","_id":"21819","user_id":"81513","department":[{"_id":"101"}],"article_number":"722","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1099-4300"]},"year":"2020","citation":{"ama":"Klus S, Nüske F, Hamzi B. Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. <i>Entropy</i>. 2020. doi:<a href=\"https://doi.org/10.3390/e22070722\">10.3390/e22070722</a>","chicago":"Klus, Stefan, Feliks Nüske, and Boumediene Hamzi. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” <i>Entropy</i>, 2020. <a href=\"https://doi.org/10.3390/e22070722\">https://doi.org/10.3390/e22070722</a>.","ieee":"S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” <i>Entropy</i>, 2020.","apa":"Klus, S., Nüske, F., &#38; Hamzi, B. (2020). Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. <i>Entropy</i>. <a href=\"https://doi.org/10.3390/e22070722\">https://doi.org/10.3390/e22070722</a>","mla":"Klus, Stefan, et al. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” <i>Entropy</i>, 722, 2020, doi:<a href=\"https://doi.org/10.3390/e22070722\">10.3390/e22070722</a>.","bibtex":"@article{Klus_Nüske_Hamzi_2020, title={Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator}, DOI={<a href=\"https://doi.org/10.3390/e22070722\">10.3390/e22070722</a>}, number={722}, journal={Entropy}, author={Klus, Stefan and Nüske, Feliks and Hamzi, Boumediene}, year={2020} }","short":"S. Klus, F. Nüske, B. Hamzi, Entropy (2020)."},"oa":"1","date_updated":"2022-01-06T06:55:16Z","author":[{"full_name":"Klus, Stefan","last_name":"Klus","first_name":"Stefan"},{"first_name":"Feliks","last_name":"Nüske","orcid":"0000-0003-2444-7889","full_name":"Nüske, Feliks","id":"81513"},{"last_name":"Hamzi","full_name":"Hamzi, Boumediene","first_name":"Boumediene"}],"date_created":"2021-04-28T18:06:35Z","title":"Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator","main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/1099-4300/22/7/722"}],"doi":"10.3390/e22070722"}]