Lieb-Thirring Bounds for Interacting Bose Gases
arXiv:1402.4463 · doi:10.1007/s00220-014-2278-4
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.
Accepted and final version. 44 pages
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Cited by in corpus (10)
- Exclusion bounds for extended anyons
- Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems
- Lieb-Thirring inequality with semiclassical constant and gradient error term
- Fermionic behavior of ideal anyons
- Methods of modern mathematical physics: Uncertainty and exclusion principles in quantum mechanics
- Properties of 2D anyon gas
- A Lieb-Thirring inequality for extended anyons
- The Lieb-Thirring inequality for interacting systems in strong-coupling limit
- Triviality of a model of particles with point interactions in the thermodynamic limit
- Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces