Weak pseudo-Hermiticity and antilinear commutant
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Publication:4832802
DOI10.1063/1.1504485zbMath1060.81026arXivquant-ph/0203101OpenAlexW2045664423MaRDI QIDQ4832802
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0203101
Applications of operator theory in the physical sciences (47N50) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)
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Cites Work
- \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
- Negative metric and the unitarity of the S-matrix
- 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 versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Bakerian Lecture - The physical interpretation of quantum mechanics
- On Dirac's New Method of Field Quantization
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials
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