About Quadratic Transformations Connected To Hurwitz Transformations

  • A. Ronveaux
III. Symmetries, Interactions and Quantization Methods
Part of the Lecture Notes in Physics book series (LNP, volume 313)


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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  1. [1]
    D. LAMBERT and M. KIBLER, J. Phys. A (in print)(1988).Google Scholar
  2. [2]
    D. LAMBERT, M. KIBLER and A. RONVEAUX, Proceedings of the 14th ICGTMP World Scientific p. 304–307 (1987).Google Scholar
  3. [3]
    A. HURWITZ, Math. Wenke 41 p. 565–571.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • A. Ronveaux
    • 1
  1. 1.Facultés Universitaires Notre-Dame de la PaixPhysique MathématiqueNamurBelgique

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