Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid
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Publication:2363058
DOI10.1155/2015/701042zbMath1366.81153OpenAlexW1844082406WikidataQ59102361 ScholiaQ59102361MaRDI QIDQ2363058
A. Chenaghlou, Vahid Mohammadi, S. Aghaei
Publication date: 13 July 2017
Published in: Advances in High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/701042
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)
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Cites Work
- Exactly solvable potentials of the Klein-Gordon equation with the supersymmetry method
- Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
- Dirac and Klein-Gordon equations with equal scalar and vector potentials
- Shape invariance approach to exact solutions of the Klein-Gordon equation
- Exact bound state solutions of the \(s\)-wave Klein-Gordon equation with the generalized Hulthén potential
- Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions
- Coulomb-oscillator duality in spaces of constant curvature
- Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems
- Classification of All Single Travelling Wave Solutions to Calogero–Degasperis–Focas Equation
- Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
- On the exact solutions of the Dirac equation with a novel angle-dependent potential
- Quantum superintegrable systems with quadratic integrals on a two dimensional manifold
- Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics
- Dynamical symmetries of the Klein–Gordon equation
- Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry
- Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
- Superintegrability on the two-dimensional hyperboloid
- Supersymmetry and Solution of Dirac Equation with Vector and Scalar Potentials
- Superintegrability on the two-dimensional hyperboloid. II
- Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio’s oscillator
- Construction of classical superintegrable systems with higher order integrals of motion from ladder operators
- Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems
- Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach
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