Abstract

The N-representability problem is reviewed and formulated for the first time in the context of group-related coherent states. The particular family of states chosen is based on the group of special unitary transformations of one-particle space. Density operators are analyzed in terms of their P and Q symbols associated with these states, and the holomorphic representations of quantum mechanics that they induce. The time-independent Schrödinger equation for the ground state of an electronic system is expressed as a variational problem over a set of positive distributions. This set of distributions solves in an abstract sense the N-representability problem. The computational feasibility of the solution is discussed.

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