{"volume":53,"date_updated":"2021-01-12T06:57:16Z","abstract":[{"lang":"eng","text":"We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power."}],"title":"Lieb-Thirring inequality for a model of particles with point interactions","publist_id":"4524","_id":"2402","doi":"10.1063/1.3697416","issue":"9","publisher":"American Institute of Physics","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"intvolume":"        53","month":"09","status":"public","citation":{"mla":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>.","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","ieee":"R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9. American Institute of Physics, 2012.","apa":"Frank, R., &#38; Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).","ama":"Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>","chicago":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>."},"type":"journal_article","extern":1,"publication":"Journal of Mathematical Physics","date_created":"2018-12-11T11:57:27Z","publication_status":"published","year":"2012","quality_controlled":0,"oa":1,"date_published":"2012-09-28T00:00:00Z","main_file_link":[{"url":"http://arxiv.org/abs/1112.5617","open_access":"1"}],"day":"28"}