Reduced density matrices of energy eigenstates

Mitja Rosina, Jerome K. Percus, Louis J. Kijewski, Claude Garrod

Research output: Contribution to journalArticle


The following question is considered: What special properties are possessed by those reduced density matrices which come from energy eigenstates? Using the fact that 〈φ[H, A] |φ〉 = 0, where A is any operator and |φ〉 an energy eigenstate, it is shown that the elements of the two-particle density matrix are severely restricted by homogeneous linear relations. Their full content is expressed in terms of an auxiliary one-particle density which possesses additional positivity properties in the ground state.

Original languageEnglish (US)
Pages (from-to)1761-1763
Number of pages3
JournalJournal of Mathematical Physics
Issue number9
StatePublished - 1969

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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    Rosina, M., Percus, J. K., Kijewski, L. J., & Garrod, C. (1969). Reduced density matrices of energy eigenstates. Journal of Mathematical Physics, 10(9), 1761-1763.