Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators

被引：15

作者：

Arai, Asao ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2009年 / 87卷 / 1-2期

关键词：

canonical commutation relation; Hamiltonian; time operator; eigenvalue; HEISENBERG COMMUTATION RELATION; WEYL RELATION; SPECTRUM;

D O I：

10.1007/s11005-008-0286-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present new classes of time operators of a Hamiltonian H (a self-adjoint operator) with discrete eigenvalues which may be degenerate. Moreover we formulate necessary and sufficient conditions for H to have time operators, determining the general form of them. As corollaries, non-existence theorems of time operators for some classes of H are derived.

引用

页码：67 / 80

页数：14

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