Exact solution of Schrödinger equation with deformed ring-shaped potential

DOI10.1007/s10910-004-1446-8zbMath1072.81062arXivquant-ph/0409151OpenAlexW1975231020MaRDI QIDQ2485875

Ramazan Sever, Metin Aktaş

Publication date: 5 August 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0409151

zbMATH Keywords

deformed ring-shaped potentialthe Nikiforov-Uvarov method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Molecular physics (81V55)

Related Items (11)

Coordinate transformations and matter waves cloaking ⋮ Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method ⋮ Exact solutions of a new Coulomb ring-shaped potential ⋮ Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthén potential ⋮ Tridiagonal treatment for the Schrödinger equation with a noncentral 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 ⋮ 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 ⋮ Analytical solution of the schrödinger equation for Makarov potential with any \(\ell\) angular momentum ⋮ A novel angle-dependent potential and its exact solution ⋮ Modified \(\ell \)-states of diatomic molecules subject to central potentials plus an angle-dependent potential

Cites Work

• Supersymmetric solutions of non-central potentials
• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• A new ring-shaped potential and its dynamical invariance algebra
• Exact solution of the Schrödinger equation with noncentral parabolic potentials
• Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov Method
• Dynamical invariance algebra of the Hartmann potential

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