REDUCED DENSITY MATRICES OF ENERGY EIGENSTATES

被引：13

作者：

ROSINA, M

PERCUS, JK

KIJEWSKI, LJ

GARROD, C

机构：

[1] Nuclear Institute J. Stefan, University of Ljubljana, Ljubljana

[2] Courant Institute of Mathematical Sciences, Department of Physics, New York University, New York, NY

[3] Physics Department, Monmouth College, West Long Branch, NJ

[4] Physics Department, University of California, Davis, CA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 09期

关键词：

D O I：

10.1063/1.1665024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1761 / &