Mapping of non-central potentials under point canonical transformations

Details Mapping of non-central potentials under point canonical transformations Mapping of non-central potentials under point canonical transformations

2002-11-20

arxiv.org/abs/quant-ph/0211132v1

Mod. Phys. Lett. A, Vol. 17, No. 32 (2002) pp. 2127-2135

Physics

Quantum Physics

11 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~gonul for other studies of Nucl

Scientific paper

10.1142/S0217732302008125

Motivated by the observation that all known exactly solvable shape invariant central potentials are inter-related via point canonical transformations, we develop an algebraic framework to show that a similar mapping procedure is also exist between a class of non-central potentials. As an illustrative example, we discuss the inter-relation between the generalized Coulomb and oscillator systems.

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