article
Lieb-Thirring inequality for a model of particles with point interactions
published
Rupert
Frank
author
Robert
Seiringer
author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521
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.
American Institute of Physics2012
Journal of Mathematical Physics10.1063/1.3697416
539
yes
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>
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>.
Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).
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>.
Frank, R., & 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>
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.
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
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