Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system
DOI10.1142/S0219887817500049zbMath1358.35146MaRDI QIDQ2956641
Vahid Mohammadi, A. Chenaghlou
Publication date: 18 January 2017
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
quadratic algebraDirac equationspin symmetryrelativistic energypseudo-spin symmetryquantum superintegrable potential
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special relativity (83A05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (2)
Cites Work
- Unnamed Item
- Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid
- Solution of the Dirac equation with position-dependent mass in the Coulomb field
- Shape invariance approach to exact solutions of the Klein-Gordon equation
- 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
- Classical and quantum superintegrability with applications
- Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation
- Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
- Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory
- Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion
- Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics
- An infinite family of solvable and integrable quantum systems on a plane
- 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
- An algebraic and geometric approach to non-bijective quadratic transformations
- Lie algebras under constraints and non-bijective canonical transformations
- Construction of new integrable Hamiltonians in two degrees of freedom
- WKB equivalent potentials for the q-deformed harmonic oscillator
- The Group $O(4)$, Separation of Variables and the Hydrogen Atom
- Solution of the Dirac equation in the field of a magnetic monopole
- Completeness of multiseparable superintegrability inE2,C
- Completeness of multiseparable superintegrability on the complex 2-sphere
- Maximal superintegrability of Benenti systems
- Superintegrability with third-order integrals in quantum and classical mechanics
- Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields
- The anisotropic oscillator on the 2D sphere and the hyperbolic plane
- Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems
- New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials
- Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach
- Periodic orbits for an infinite family of classical superintegrable systems
This page was built for publication: Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system