Exact solutions of a new Coulomb ring-shaped potential

DOI10.1007/s10910-010-9715-1zbMath1202.81062OpenAlexW2064478822MaRDI QIDQ607580

Huang-Fu Guo-Qing, Bo An, Min-Cang Zhang

Publication date: 22 November 2010

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

Full work available at URL: https://doi.org/10.1007/s10910-010-9715-1

zbMATH Keywords

Schrödinger equationbound stateCoulomb ring-shaped potentialnoncentral potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Solutions of the \(D\)-dimensional Schrödinger equation with the hyperbolic Pöschl-Teller potential plus modified ring-shaped term ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ Exact solution of the relativistic finite-difference equation for the Coulomb plus a ring-shaped-like potential

Cites Work

• A novel angle-dependent potential and its exact solution
• Practical quantum mechanics. Translated from the German.
• Exact solutions of continuous states for Hartmann potential
• Exact solutions of the Dirac equation with scalar and vector Hartmann potentials
• Exact solution of Schrödinger equation with deformed ring-shaped potential
• A new ring-shaped potential and its dynamical invariance algebra
• Dynamical invariance algebra of the Hartmann potential
• Quantum scattering from the Coulomb potential plus an angle-dependent potential: a group-theoretical study

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