The supersymmetry approaches to the non-central Kratzer plus ring-shaped potential

DOI10.1007/S10773-009-0012-3zbMath1176.81040OpenAlexW2067917553MaRDI QIDQ1037300

J. Blot

Publication date: 16 November 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0012-3

zbMATH Keywords

Schrödinger equationraising and lowering operatorsmodified Kratzer potentialsupersymmetry approaches

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60)

Related Items (6)

Coherent states for Kratzer-type potentials ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ CORNELL AND KRATZER POTENTIALS WITHIN THE SEMIRELATIVISTIC TREATMENT ⋮ The \(AdS_{4}\) gravitational perturbation and supersymmetry ⋮ Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space ⋮ Factorization method in scalar field on AdS3 in spherical coordinates

Cites Work

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• Dynamical breaking of supersymmetry
• The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential
• A new ring-shaped potential and its dynamical invariance algebra
• Dynamical invariance algebra of the Hartmann potential
• SUPERSYMMETRY APPROACHES TO THE BOUND STATES OF THE GENERALIZED WOODS–SAXON POTENTIAL

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