Pseudo-Hermiticity and Generalized PT- and CPT-Symmetries
By Ali Mostafazadeh. 2002
226 citations recorded by the source corpus.
We study certain linear and antilinear symmetry generators and involution operators associated with pseudo-Hermitian Hamiltonians and show that the theory of pseudo-Hermitian operators provides a simple explanation for the recent results of Bender, Brody and Jones (quant-ph/0208076) on the CPT-symmetry of a class of PT-symmetric non-Hermitian Hamiltonians. We present a natural extension of these results to the class of diagonalizable pseudo-Hermitian Hamiltonians H with a discrete spectrum. In particular, we introduce generalized parity (P), time-reversal (T), and charge-conjugation (C) operators and establish the PT- and CPT-invariance of H.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ef6eabd1dce7982182712c1ab2986ab3283305a3
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In Atomic and Molecular Physics, and Optics
- Jianke Yang
- Dmitry A. Zezyulin
- Vladimir V. Konotop
- Boris A. Malomed
- Sergei K. Turitsyn
- Ziad Musslimani
- Mark J. Ablowitz
- Yan Rybalko
In Statistical and Nonlinear Physics
- Jianke Yang
- Dmitry A. Zezyulin
- Vladimir V. Konotop
- Boris A. Malomed
- Sergei K. Turitsyn
- Ziad Musslimani
- Bo Yang
- Mark J. Ablowitz
Citations in the corpus
- Nonlinear waves in PT -symmetric systems (2016, background): “Therefore, one can also consider the generalized parity operator P (Bender, Berry, and Mandilara, 2002; Mostafazadeh, 2003b, 2008), with P being an arbitrary unitary linear operator: P†P = PP† = I.”