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Ground state energy of the dilute spin-polarized Fermi gas: Lower bound

2024/02/27 by Asbjørn Bækgaard Lauritsen, Robert Seiringer, Lauritsen, Asbjørn Bækgaard +1
Materials Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Magnetic and transport properties of perovskites and related materials #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.2402.17558

openalex publication_date 2024/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a lower bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. This correction depends on the p-wave scattering length of the interaction and matches the corresponding upper bound in [J. Funct. Anal. 286.7 (2024), p. 110320].

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