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Mapping of non-central potentials under point canonical transformations

Mehmet Kocak·Ilker Zorba·Bulent Gonul
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Abstract

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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Mehmet Kocak, Ilker Zorba, Bulent Gonul. 2002-11-20. Mapping of non-central potentials under point canonical transformations. https://doi.org/10.1142/s0217732302008125

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