Investigations of random pair densities and the application to the N-representability problem

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Abstract

We show that random pair densities that can arise from a many-body wavefunction have a distinct distribution of their eigenvalues, when interpreted as a kernel of an integral operator. This gives a probabilistic condition for pair densities as well as two-particle density matrices to be obtainable from a wavefunction. The condition depends on the number of particles in the system.

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  • Condensed Matter Physics
Original languageEnglish
Pages (from-to)208-211
JournalChemical Physics Letters
Volume449
Issue number1-3
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes