Refined Factorizations of Solvable Potentials

Abstract

A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.

11 pages, LaTeX file, no figures

References in corpus (3)

• Algebraic Approach to Shape Invariance
• The finite difference algorithm for higher order supersymmetry
• New hydrogen-like potentials

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• Quantum mechanical spectral engineering by scaling intertwining
• Landau quantum systems: an approach based on symmetry
• Bessel-Gauss beams of arbitrary integer order: propagation profile, coherence properties and quality factor
• Beyond conventional factorization: Non-Hermitian Hamiltonians with radial oscillator spectrum
• Degeneracy and coherent states of the two-dimensional Morse potential
• Dynamical symmetries for superintegrable quantum systems