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arXiv · 2301.04894

Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion

Asbjørn Bækgaard Lauritsen·Robert Seiringer
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Abstract

We prove an upper 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. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237-260).

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Asbjørn Bækgaard Lauritsen, Robert Seiringer. 2023-01-12. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. https://doi.org/10.1016/j.jfa.2024.110320

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