Lieb-Thirring Bounds for Interacting Bose Gases
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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- April 2015
- DOI:
- 10.1007/s00220-014-2278-4
- arXiv:
- arXiv:1402.4463
- Bibcode:
- 2015CMaPh.335.1019L
- Keywords:
-
- Ground State Energy;
- Hard Sphere;
- Einstein Condensation;
- Scatter Length;
- Homogeneous Potential;
- Mathematical Physics;
- Condensed Matter - Quantum Gases;
- Mathematics - Spectral Theory;
- 81Q10;
- 35P15;
- 46N50
- E-Print:
- Accepted and final version. 44 pages