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

被引：14
|
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.
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页码：67 / 80
页数：14
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