Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians

DOI10.1063/1.1514834zbMath1060.81023arXivmath-ph/0207009OpenAlexW1972082874MaRDI QIDQ4832860

Ali Mostafazadeh

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/math-ph/0207009

Mathematics Subject Classification ID

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

Related Items (13)

A NOTE ON THE INTEGRABILITY OF NON-HERMITIAN EXTENSIONS OF CALOGERO–MOSER–SUTHERLAND MODELS ⋮ Pseudo-Hermiticity and generalized PT- and CPT-symmetries ⋮ Constructible reality condition of pseudo entropy via pseudo-Hermiticity ⋮ Quantum entropy of non-Hermitian entangled systems ⋮ Fragile PT-symmetry in a solvable model ⋮ \({\mathcal{PT}}\) symmetry vs. hermiticity ⋮ Projective Hilbert space structures at exceptional points ⋮ A PHYSICAL REALIZATION OF THE GENERALIZED PT-, C-, AND CPT-SYMMETRIES AND THE POSITION OPERATOR FOR KLEIN–GORDON FIELDS ⋮ Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I: two-dimensional model ⋮ Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. II: Three-dimensional model ⋮ Remarks on pseudo-Hermitian matrices and their exceptional points ⋮ Algebraic construction of associated functions of nondiagonalizable models with anharmonic oscillator complex interaction ⋮ Dynamical symmetry algebras of two superintegrable two-dimensional systems

Cites Work

• Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
• Two-component formulation of the Wheeler–DeWitt equation
• 𝓟𝓣-symmetric quantum mechanics
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• 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
• Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians

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