SUPER HILBERT SPACE AND QUANTUM-MECHANICAL TIME OPERATORS

被引：45

作者：

ROSENBAUM, DM

机构：

[1] Department of Electrical Engineering, Polytechnic Institute of Brooklyn, Brooklyn, NY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 07期

关键词：

D O I：

10.1063/1.1664949

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The basic idea of super Hilbert space is to represent physical states by continuous linear functionals on a space of good functions, rather than by functions in a Hilbert space. Since L2 is in one-to-one correspondence with a subset of super Hilbert'space, everything that can be done in L2 can be done in super Hilbert space. In addition, however, it is possible to have a time operator and thus to base relativistic quantum mechanics on covariant four-dimensional commutation relations.

引用

页码：1127 / +

页数：1

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ROSENBAUM, DM .

JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (10) :1973-+

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