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

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).

arXiv comment80 pages, 9 figures. v2: added discussion of ${\rho }^{10/3}$-term and fixed minor errors

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Cited by in corpus (3)

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