Method of approximation for potentials in impenetrable boxes: Harmonic Oscillator and Coulomb potentials

Details Method of approximation for potentials in impenetrable boxes: Harmonic Oscillator and Coulomb potentials Method of approximation for potentials in impenetrable boxes: Harmonic Oscillator and Coulomb potentials

2002-02-07

arxiv.org/abs/hep-th/0202046v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages

Scientific paper

In this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. It is illustrated through the particular cases of the harmonic oscillator and the Coulomb potential. In this kind of system the energy expression respect the correct quantum limits, which is a very important quality. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals.

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