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About Quadratic Transformations Connected To Hurwitz Transformations

  • III. Symmetries, Interactions and Quantization Methods
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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Abstract

The Hurwitz transformations are non bijective transformations important in Quantum and Classical mechanics with two main properties : conformal character of the transformations (r = u2, where r and u are the Euclidean distance in Rn and Rm), and Lie group character of the Kernel. We investigate the first property in the general class of quadratic transformations.

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References

  1. D. LAMBERT and M. KIBLER, J. Phys. A (in print)(1988).

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  2. D. LAMBERT, M. KIBLER and A. RONVEAUX, Proceedings of the 14th ICGTMP World Scientific p. 304–307 (1987).

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  3. A. HURWITZ, Math. Wenke 41 p. 565–571.

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Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Ronveaux, A. (1988). About Quadratic Transformations Connected To Hurwitz Transformations. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012284

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  • DOI: https://doi.org/10.1007/BFb0012284

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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