Three-dimensional shape invariant non-separable model with equidistant spectrum

DOI10.1063/1.4774292zbMath1280.81059arXiv1212.4805OpenAlexW1980972601MaRDI QIDQ5396266

M. S. Bardavelidze, Francesco Cannata, Mikhail V. Ioffe, D. N. Nishnianidze

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4805

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Supersymmetry and quantum mechanics (81Q60)

Related Items (3)

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 ⋮ Dynamical symmetry algebras of two superintegrable two-dimensional systems

Cites Work

• Dynamical breaking of supersymmetry
• Supersymmetrical separation of variables in two-dimensional quantum mechanics
• Pseudo-hermiticity of an exactly solvable two-dimensional model
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Systems with higher-order shape invariance: spectral and algebraic properties
• Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties
• Intertwined isospectral potentials in an arbitrary dimension
• Equidistance of the complex two-dimensional anharmonic oscillator spectrum: the exact solution
• Method for generating additive shape-invariant potentials from an Euler equation
• A new exactly solvable two-dimensional quantum model not amenable to separation of variables
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Three-dimensional solutions of supersymmetrical intertwining relations and pairs of isospectral Hamiltonians
• A SUSY approach for investigation of two-dimensional quantum mechanical systems
• New two-dimensional quantum models partially solvable by the supersymmetrical approach
• Quantum superintegrability and exact solvability in n dimensions
• Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction
• New two-dimensional quantum models with shape invariance
• symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum

This page was built for publication: Three-dimensional shape invariant non-separable model with equidistant spectrum