On the ground state energy of the delta-function Fermi gas
Mathematical Physics
2017-01-09 v2 math.MP
Abstract
The weak coupling asymptotics to order of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation a method previously used by one of the authors for the asymptotics of large Toeplitz matrices.
Keywords
Cite
@article{arxiv.1604.02440,
title = {On the ground state energy of the delta-function Fermi gas},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:1604.02440},
year = {2017}
}
Comments
20 pages. Version 2 corrects misprints, adds references, and improves the exposition