Space of state vectors in PT-symmetric quantum mechanics

被引：101

作者：

Japaridze, GS ^{[1
]}

机构：

[1] Clark Atlanta Univ, Ctr Theoret Studies Phys Syst, Atlanta, GA 30314 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 07期

关键词：

D O I：

10.1088/0305-4470/35/7/315

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The space of states of PT-symmetric quantum mechanics is examined. The requirement that eigenstates with different eigenvalues must be orthogonal leads to the conclusion that eigenfunctions belong to a space with an indefinite metric. Self-consistent expressions for the probability amplitude and the average value of operator are suggested. Further specification of the space of state vectors yields a superselection rule, redefining the notion of the superposition principle. An expression for the probability current density, satisfying the equation of continuity and vanishing for the bound state, is proposed.

引用

页码：1709 / 1718

页数：10

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