PATH INTEGRALS AND LOWER BOUNDS FOR DENSITY MATRICES

被引：6

作者：

GROSS, EP

机构：

[1] Martin Fisher School of Physics, Brandeis University, Waltham, Massachusetts

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 21卷 / 02期

关键词：

density matrices; lower bounds; Path integrals;

D O I：

10.1007/BF01008699

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Feynman has established a variational principle for the coordinate space representation of the canonical density matrix. It uses real trial actions in place of the actual real action. This principle is extended by dividing the original temperature interval, using matrix multiplication, and trial actions that depend on the end points. The result is a series of better lower bounds. A detailed analysis is made of the soluble harmonic oscillator case using free particle and mean path trial actions. © 1979 Plenum Publishing Corporation.

引用

页码：215 / 227

页数：13

共 11 条

[1] DEGENERATE AND NON-DEGENERATE GROUND-STATES FOR SCHRODINGER OPERATORS [J].