### 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 language | English (US) |
---|---|

Pages (from-to) | 1761-1763 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 10 |

Issue number | 9 |

State | Published - 1969 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*10*(9), 1761-1763.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 10, no. 9, pp. 1761-1763.

}

TY - JOUR

T1 - Reduced density matrices of energy eigenstates

AU - Rosina, Mitja

AU - Percus, Jerome

AU - Kijewski, Louis J.

AU - Garrod, Claude

PY - 1969

Y1 - 1969

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=7044275900&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7044275900&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:7044275900

VL - 10

SP - 1761

EP - 1763

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -