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arXiv · 1604.02440

On the ground state energy of the delta-function Fermi gas

Craig A. Tracy·Harold Widom
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Abstract

The weak coupling asymptotics to order $γ$ 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.

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Craig A. Tracy, Harold Widom. 2016-09-23. On the ground state energy of the delta-function Fermi gas. https://doi.org/10.1063/1.4964252

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