THE METRIC OPERATORS FOR PSEUDO-HERMITIAN HAMILTONIAN

DOI10.1017/s1446181123000184OpenAlexW4387878388MaRDI QIDQ6204619

Wen-Hua Wang, Zheng-Li Chen, Wei Li

Publication date: 31 March 2024

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181123000184

zbMATH Keywords

real spectrummetric operatorpseudo-Hermitian Hamiltonianpositive-definite inner productvec map

Mathematics Subject Classification ID

Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

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• 𝓟𝓣-symmetric quantum mechanics
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• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Which metrics are consistent with a given pseudo-hermitian matrix?
• PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
• Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential

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