\({\mathcal{PT}}\) symmetry vs. hermiticity

DOI10.1007/s10773-010-0607-8zbMath1213.81153OpenAlexW2050644101MaRDI QIDQ539573

Qing-hai Wang

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0607-8

zbMATH Keywords

matrix\({\mathcal{PT}}\)-symmetric quantum mechanics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10)

Cites Work

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• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
• Complex Extension of Quantum Mechanics
• Finite-dimensional   -symmetric Hamiltonians
• All Hermitian Hamiltonians have parity
• ExactPT-symmetry is equivalent to Hermiticity
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians
• Pseudo-Hermiticity and generalized PT- and CPT-symmetries