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Ground state energy of the dilute spin-polarized Fermi gas: Lower bound
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Ground state energy of the dilute spin-polarized Fermi gas: Lower bound
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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].
Forward citations
Cited by 2 Pith papers
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The Huang--Yang formula for a two-dimensional Fermi gas: upper bound
Derives an upper bound on the ground state energy of a dilute 2D Fermi gas that captures the first three terms in the small ρa² asymptotic expansion.
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Semi-classical limit of an attractive Fermi gas in one or two dimensions
For trapped attractive Fermi gases in 1D and 2D, as N grows the ground-state energy approaches the Thomas-Fermi energy, and ground states converge via Husimi functions.
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