Generalized Ladder Operators for Shape-invariant Potentials

Details Generalized Ladder Operators for Shape-invariant Potentials Generalized Ladder Operators for Shape-invariant Potentials

2001-08-31

arxiv.org/abs/nucl-th/0108073v1

Physics

Nuclear Physics

Nuclear Theory

in Revtex

Scientific paper

10.1238/Physica.Regular.064a0054

A general form for ladder operators is used to construct a method to solve bound-state Schr\"odinger equations. The characteristics of supersymmetry and shape invariance of the system are the start point of the approach. To show the elegance and the utility of the method we use it to obtain energy spectra and eigenfunctions for the one-dimensional harmonic oscillator and Morse potentials and for the radial harmonic oscillator and Coulomb potentials.

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