{"intvolume":" 53","publisher":"American Institute of Physics","month":"09","date_published":"2012-09-28T00:00:00Z","date_updated":"2021-01-12T06:57:16Z","publication":"Journal of Mathematical Physics","title":"Lieb-Thirring inequality for a model of particles with point interactions","status":"public","oa":1,"publication_status":"published","_id":"2402","main_file_link":[{"url":"http://arxiv.org/abs/1112.5617","open_access":"1"}],"abstract":[{"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.","lang":"eng"}],"day":"28","date_created":"2018-12-11T11:57:27Z","quality_controlled":0,"doi":"10.1063/1.3697416","issue":"9","year":"2012","publist_id":"4524","citation":{"ama":"Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. *Journal of Mathematical Physics*. 2012;53(9). doi:10.1063/1.3697416","chicago":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” *Journal of Mathematical Physics*. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","mla":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” *Journal of Mathematical Physics*, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.","apa":"Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. *Journal of Mathematical Physics*. American Institute of Physics. https://doi.org/10.1063/1.3697416","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).","ieee":"R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” *Journal of Mathematical Physics*, vol. 53, no. 9. American Institute of Physics, 2012."},"author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"extern":1,"type":"journal_article","volume":53}