Abstract
The removal of the N-electron wave function from many-body theory requires solution of the N-representability problem for the second-order reduced density matrix (RDM-2). This difficult problem, first explicitly formulated by A.J. Coleman [1], has not yet been resolved even in its weakened diagonal form. Very general results have been obtained by means of the theory of convex sets, [2]. It seems that the most interesting achievement attained along this line is Coleman’s theorem [3] showing that the reduced density matrix of a general AGP-function is extreme in the convex set of second order reduced density matrices.
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© 1987 D. Reidel Publishing Company
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Mestechkin, M.M. (1987). On the Diagonal N-Representability Problem. In: Erdahl, R., Smith, V.H. (eds) Density Matrices and Density Functionals. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3855-7_5
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DOI: https://doi.org/10.1007/978-94-009-3855-7_5
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