Lieb-Thirring Bounds for Interacting Bose Gases
Mathematical Physics
2015-04-14 v4 Quantum Gases
math.MP
Spectral Theory
Abstract
We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.
Cite
@article{arxiv.1402.4463,
title = {Lieb-Thirring Bounds for Interacting Bose Gases},
author = {Douglas Lundholm and Fabian Portmann and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1402.4463},
year = {2015}
}
Comments
Accepted and final version. 44 pages