MAPPING OF NON-CENTRAL POTENTIALS UNDER POINT CANONICAL TRANSFORMATIONS

DOI10.1142/S0217732302008125zbMath1083.81601arXivquant-ph/0211132OpenAlexW3105106908MaRDI QIDQ5312383

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Publication date: 31 August 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0211132

zbMATH Keywords

non-central potentialpoint canonical transformationShape invariance

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (7)

Fractional supersymmetry and hierarchy of shape invariant potentials ⋮ Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method ⋮ Mapping of two-dimensional Schrödinger equation under the point transformation ⋮ PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation ⋮ Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials ⋮ SYSTEMATIC SEARCH OF EXACTLY SOLVABLE NON-CENTRAL POTENTIALS ⋮ A general approach for the exact solution of the Schrödinger equation

Cites Work

• Supersymmetric solutions of non-central potentials
• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• Significance of Electromagnetic Potentials in the Quantum Theory
• A new ring-shaped potential and its dynamical invariance algebra
• The Factorization Method

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