A lower energy bound for N-particles quantum systems

Kilić, S., Perši, T., Sunarić, S.

Published Jan 1, 1989• 0 citations

Abstract

It has been shown that the ground state energy E₀ of a quantum system of N identical fermi particles satisfies inequality E₀ ≥ (1 / (N − n)) Σᵢⁿ⁻ⁿ εᵢ , (1) where n = 1, 2, …, N − 1 and εᵢ are the eigenvalues of “n + 1-body Hamiltonian”. The summation is performed over the first N − n states.

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