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Transformations Generalizing the Levi-Civita, Kustaanheimo-Stiefel, and Fock Transformations

1994/09/30 by M. Kibler, Kibler, M., P. Labastie +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9409196

7 pages, Tex, LYCEN 8829

arxiv created 1994/09/30 · openalex publication_date 1994/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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