Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction
From MaRDI portal
Publication:5246521
DOI10.1063/1.3298675zbMath1309.81068arXiv0910.0590OpenAlexW3122243884MaRDI QIDQ5246521
Francesco Cannata, Mikhail V. Ioffe, D. N. Nishnianidze
Publication date: 21 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.0590
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80)
Related Items
Non-Hermitian oscillators with \(T_d\) symmetry ⋮ Is space-time symmetry a suitable generalization of parity-time symmetry? ⋮ Algebraic analysis of non-Hermitian quadratic Hamiltonians ⋮ Algebraic treatment of non-Hermitian quadratic Hamiltonians ⋮ A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system ⋮ Three-dimensional shape invariant non-separable model with equidistant spectrum ⋮ Three PT-symmetric Hamiltonians with completely different spectra ⋮ Non-Hermitian Hamiltonians with unitary and antiunitary symmetries ⋮ 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 ⋮ Algebraic construction of associated functions of nondiagonalizable models with anharmonic oscillator complex interaction ⋮ Dynamical symmetry algebras of two superintegrable two-dimensional systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo-hermiticity of an exactly solvable two-dimensional model
- Systems with higher-order shape invariance: spectral and algebraic properties
- Real eigenspectra in non-Hermitian multidimensional Hamiltonians
- Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- Complex Extension of Quantum Mechanics
- 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
- New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance
- Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
- Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
- 𝓟𝓣-symmetric quantum mechanics
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- Exact solvability of a two-dimensional real singular Morse potential
- Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable
- Quantum complex Hénon-Heiles potentials
- Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians