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Generalized Ladder Operators for Shape-invariant Potentials

Elso Drigo Filho and M A Cândido Ribeiro

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A general form for ladder operators is used to construct a method to solve bound-state Schrödinger 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.


PACS

03.65.Ge Solutions of wave equations: bound states

03.65.Fd Algebraic methods

MSC

81Q60 Supersymmetric quantum mechanics

Subjects

Quantum information and quantum mechanics

Dates

Issue 6 (2001)

Received 1 May 2001



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