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Supersymmetric treatment of a particle subjected to a ring‐shaped potential
Author(s) -
Blado Gardo Garnet
Publication year - 1996
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1996)58:5<431::aid-qua1>3.0.co;2-z
Subject(s) - eigenfunction , ring (chemistry) , eigenvalues and eigenvectors , supersymmetric quantum mechanics , physics , quantum mechanics , quantum , benzene , particle (ecology) , mathematical physics , chemistry , quantum statistical mechanics , biology , organic chemistry , ecology
The ring‐shaped Hartmann potential\documentclass{article}\pagestyle{empty}\begin{document}$$V = \eta \sigma ^2 \varepsilon _0 \left({\frac{{2a_0 }}{r} - \frac{{\eta a_0^2 }}{{r^2 \sin ^2 \theta }}} \right)$$\end{document}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. © 1996 John Wiley & Sons, Inc.