Systematic Search of Exactly Solvable Non-Central Potentials

Abstract

Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis the reason behind exact solvability of some non-central potentials. This investigation clarifies once more the effectiveness of the present formalism.

7 pages, no figures

References in corpus (6)

• Supersymmetry and Quantum Mechanics
• Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance
• Supersymmetry,Shape Invariance and Exactly Solvable Noncentral Potentials
• New exact treatment of the perturbed Coulomb interactions
• Generalized Supersymmetric Perturbation Theory
• Mapping of non-central potentials under point canonical transformations

Cited by in corpus (9)

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• A perturbative treatment for the energy levels of neutral atoms
• Remarks on exact solvability of quantum systems with spatially varying effective mass
• A new effective mass Hamiltonian and associated Lame equation: bound states
• Explicit Solutions for N-Dimensional Schrodinger Equations with Position-Dependent Mass
• The Relativistic Bound States of a Non Central Potential
• An Approach To Potential Scattering
• Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach
• Equivalence of two alternative approaches to Schrodinger equations