Simple Hamiltonians which exhibit drastic failures by variational determination of the two-particle reduced density matrix with some well known N -representability conditions

Maho Nakata, Bastiaan J. Braams, Mituhiro Fukuda, Jerome K. Percus, Makoto Yamashita, Zhengji Zhao

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Calculations on small molecular systems indicate that the variational approach employing the two-particle reduced density matrix (2-RDM) as the basic unknown and applying the P, Q, G, T1, and T2 representability conditions provides an accuracy that is competitive with the best standard ab initio methods of quantum chemistry. However, in this paper we consider a simple class of Hamiltonians for which an exact ground state wave function can be written as a single Slater determinant and yet the same 2-RDM approach gives a drastically nonrepresentable result. This shows the need for stronger representability conditions than the mentioned ones.

Original languageEnglish (US)
Article number244109
JournalJournal of Chemical Physics
Issue number24
StatePublished - Dec 1 2006


ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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