A Supersymmetric Treatment of a Particle Subjected to a Ring-shaped Potential

Details A Supersymmetric Treatment of a Particle Subjected to a Ring-shaped Potential A Supersymmetric Treatment of a Particle Subjected to a Ring-shaped Potential

1995-11-28

arxiv.org/abs/quant-ph/9511040v1

Physics

Quantum Physics

21 pages; uses LaTEX; to be published at the International Journal of Quantum Chemistry; hard copy available from the author u

Scientific paper

The ring-shaped Hartmann potential $V = \eta \sigma^{2} \epsilon_{0} \left( \frac{2 a_{0}}{r} - \frac{\eta a_{0}^{2}}{r^{2} sin^{2} \theta} \right)$ was introduced in quantum chemistry to describe ring-shaped molecules like benzene. In this article, fundamental concepts of supersymmetric quantum mechanics (SUSYQM) are discussed. The energy eigenvalues and (radial) eigenfunctions of the Hartmann potential are subsequently rederived using the techniques of SUSYQM.

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