Reduced density matrices of energy eigenstates

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

Research output: Contribution to journalArticle

Abstract

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
Volume10
Issue number9
StatePublished - 1969

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Density Matrix
Ground state
eigenvectors
Linear Relation
Energy
Positivity
Ground State
operators
ground state
energy
Operator

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

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

Reduced density matrices of energy eigenstates. / Rosina, Mitja; Percus, Jerome; Kijewski, Louis J.; Garrod, Claude.

In: Journal of Mathematical Physics, Vol. 10, No. 9, 1969, p. 1761-1763.

Research output: Contribution to journalArticle

Rosina, M, Percus, J, Kijewski, LJ & Garrod, C 1969, 'Reduced density matrices of energy eigenstates', Journal of Mathematical Physics, vol. 10, no. 9, pp. 1761-1763.
Rosina M, Percus J, Kijewski LJ, Garrod C. Reduced density matrices of energy eigenstates. Journal of Mathematical Physics. 1969;10(9):1761-1763.
Rosina, Mitja ; Percus, Jerome ; Kijewski, Louis J. ; Garrod, Claude. / Reduced density matrices of energy eigenstates. In: Journal of Mathematical Physics. 1969 ; Vol. 10, No. 9. pp. 1761-1763.
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