Exact solution for a noncentral electric dipole ring-shaped potential in the tridiagonal representation

DOI10.1063/1.3578348zbMath1316.81028OpenAlexW2077130638MaRDI QIDQ5263555

Guo-Qing Huang-Fu, Min-Cang Zhang

Publication date: 17 July 2015

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

Full work available at URL: https://doi.org/10.1063/1.3578348

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (4)

Solution of the Dirac equation in the tridiagonal representation with pseudospin symmetry for an anharmonic oscillator and electric dipole ring-shaped potential ⋮ Solutions of the Schrödinger equation in the tridiagonal representation with the noncentral electric dipole plus a novel angle-dependent component ⋮ Analytical solutions of Schrödinger equation for the diatomic molecular potentials with any angular momentum ⋮ Solution of the Dirac equation with pseudospin symmetry for a new harmonic oscillatory ring-shaped noncentral potential

Cites Work

• Critical electric dipole moment in one dimension
• Supersymmetric solutions of non-central potentials
• An extended class of \(L^2\)-series solutions of the wave equation
• An algebraic approach to the ring-shaped non-spherical oscillator
• Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential
• Exact solutions and ladder operators for a new anharmonic oscillator
• Analytical treatment of the Yukawa potential
• A new ring-shaped potential and its dynamical invariance algebra
• Extending the class of solvable potentials: III. The hyperbolic single wave
• Extending the class of solvable potentials: II. Screened Coulomb potential with a barrier
• Scattering and bound states for a class of non-central potentials
• Quantum scattering from the Coulomb potential plus an angle-dependent potential: a group-theoretical study
• Charged particle in the field of an electric quadrupole in two dimensions
• The Factorization Method

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