P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians

DOI10.1016/S0375-9601(03)00339-6zbMath1011.81010arXivquant-ph/0302084OpenAlexW3099212734MaRDI QIDQ1867916

Zafar Ahmed

Publication date: 2 April 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0302084

zbMATH Keywords

orthonormalityenergy-eigenstatestime-reversal operator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Cites Work

• Unnamed Item
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• An ensemble of non-Hermitian Gaussian-random \(2\times 2\) matrices admitting the Wigner surmise
• Complex Extension of Quantum Mechanics
• All Hermitian Hamiltonians have parity
• 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
• Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians