Asymptotic expansion of low-energy excitations for weakly interacting bosons
Mathematical Physics
2022-03-30 v3 Quantum Gases
math.MP
Abstract
We consider a system of bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in .
Keywords
Cite
@article{arxiv.2006.09825,
title = {Asymptotic expansion of low-energy excitations for weakly interacting bosons},
author = {Lea Boßmann and Sören Petrat and Robert Seiringer},
journal= {arXiv preprint arXiv:2006.09825},
year = {2022}
}
Comments
62 pages; v3: this version appeared in Forum Math. Sigma; v2: revised and extended version