Transformations Generalizing the Levi-Civita, Kustaanheimo-Stiefel, and Fock Transformations
M. Kibler, P. Labastie
Abstract
Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.
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