Non-Hermitian quantum Hamiltonians with PT symmetry

被引：50
|
作者：
Jones-Smith, Katherine [1 ]
Mathur, Harsh [1 ]
机构：
[1] Case Western Reserve Univ, Dept Phys, Cleveland, OH 44106 USA
来源：
PHYSICAL REVIEW A | 2010年 / 82卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.82.042101
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We formulate quantum mechanics for non-Hermitian Hamiltonians that are invariant under PT, where P is the parity and T denotes time reversal, for the case that time-reversal symmetry is odd (T-2 = -1), generalizing prior work for the even case (T-2 = 1). We discover an analog of Kramer's theorem for PT quantum mechanics, present a prototypical example of a PT quantum system with odd time reversal, and discuss potential applications of the formalism.
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页数：8
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