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Transformations generalizing the Levi-Civita Kustaanheimo-Stiefel and fock transformations

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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Submitted on : Thursday, November 23, 2006 - 11:15:15 AM
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M. Kibler, P. Labastie. Transformations generalizing the Levi-Civita Kustaanheimo-Stiefel and fock transformations. International Colloquium on Group Theoretical Methods in Physics 17, Jun 1988, Sainte Adele, Canada. pp.660-671. ⟨in2p3-00003236⟩

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