Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential

DOI10.1088/0253-6102/53/2/07zbMath1225.81052OpenAlexW2015589828MaRDI QIDQ3009892

Guang Luo, Lian-Bin Niu, Xianquan Hu, Zhimin Wu, Yan Ma

Publication date: 30 June 2011

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/53/2/07

zbMATH Keywords

Dirac equationbound stategeneralized associated Legendre functionring-shaped non-harmonic oscillator potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (9)

Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid ⋮ Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments ⋮ Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system ⋮ Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor’s Theorem ⋮ Non-central potentials, exact solutions and Laplace transform approach ⋮ Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method ⋮ Evaluation of more general integrals involving universal associated Legendre polynomials ⋮ Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems ⋮ The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method

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