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Title: Non-Hermitian quantum Hamiltonians with PT symmetry

Journal Article · · Physical Review. A
;  [1]
  1. Department of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106-7079 (United States)

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{sup 2}=-1), generalizing prior work for the even case (T{sup 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.

OSTI ID:
21450702
Journal Information:
Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.042101; (c) 2010 The American Physical Society; ISSN 1050-2947
Country of Publication:
United States
Language:
English