Connecting N-representability to Weyl's problem: The one particle density matrix for N = 3 and R = 6

Abstract

An analytic proof is given of the necessity of the Borland-Dennis conditions for 3-representability of a one particle density matrix with rank 6. This may shed some light on Klyachko's recent use of Schubert calculus to find general conditions for N-representability.

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