ON THE PSEUDO-HERMITICITY OF A CLASS OF PT-SYMMETRIC HAMILTONIANS IN ONE DIMENSION
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Publication:5312368
DOI10.1142/S0217732302008472zbMath1083.81514arXivmath-ph/0204013OpenAlexW3100055608MaRDI QIDQ5312368
Publication date: 31 August 2005
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0204013
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50)
Related Items (5)
The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip ⋮ Pseudo-Hermiticity and generalized PT- and CPT-symmetries ⋮ Pseudounitary operators and pseudounitary quantum dynamics ⋮ Quasi-Hermiticity in infinite-dimensional Hilbert spaces ⋮ A PHYSICAL REALIZATION OF THE GENERALIZED PT-, C-, AND CPT-SYMMETRIES AND THE POSITION OPERATOR FOR KLEIN–GORDON FIELDS
Cites Work
- 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. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials
- Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
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