Appropriate constraints for variational optimization of electronic density matrices and electron densities

AUTOR(ES)

Payne, Philip W.

RESUMO

Euler equations characteristic of the electronic reduced density matrix have previously been obtained by minimizing an energy functional subject to trace constraints 〈PK〉 = N, in which N is the number of particles. It is shown that these constraints are inadequate to exclude variations that violate N-representability conditions. However, a first-order reduced density matrix that does satisfy N-representability conditions is formulated as a functional of the orbital densities through use of angular momentum recoupling. Modified variational constraints are proposed.

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