The distance between classical and quantum systems

被引：2

作者：

Abernethy, D ^{[1
]}

Klauder, J

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[2] Univ Florida, Dept Phys, Gainesville, FL 32611 USA

来源：

FOUNDATIONS OF PHYSICS | 2005年 / 35卷 / 05期

关键词：

classical systems; quantum systems; Hamiltonian; Hermitian matrices;

D O I：

10.1007/s10701-005-4569-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a recent paper, a "distance" function, D, was defined which measures the distance between pure classical and quantum systems. In this work, we present a new definition of a "distance", D, which measures the distance between either pure or impure classical and quantum states. We also compare the new distance formula with the previous formula, when the latter is applicable. To illustrate these distances, we have used 2 x 2 matrix examples and two-dimensional vectors for simplicity and clarity. Several specific examples are calculated.

引用

页码：881 / 895

页数：15

共 7 条

[1]

Friedberg S.H., 1997, LINEAR ALGEBRA, Vfourth

[2] WEAK CORRESPONDENCE PRINCIPLE [J].