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Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces

  • III. Symmetries of Equations and Fields
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

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Abstract

A study of separation of variables for the Hamilton-Jacobi equation in an homogeneous space based in SU(2, 2) is presented. Some considerations are discussed about the potentials appearing when symmetry reduction to 0(2,2) is done.

Partial financial support from CICYT and NATO is acknowledged.

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References

  1. Kobayashi, S., Nomizu, K. Foundations of Differential Geometry, Interscience, New York, (1969).

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  2. del Olmo, M. A., Rodriguez, M.A., Winternitz, P. and Zassenhaus, H. Maximal Abelian Subalgebras of.Pseudounitary Lie Algebas, Linear Algebra and Applications, (1990).

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  3. Kalnins, E.G., Miller, W.,Proc.Roy.Soc. Edinburgh, 79A, 227, (1977)

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  4. Evans,N.W. Super-Integrability in Classical Mechanics, Phys. Rev, (1990)

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Victor V. Dodonov Vladimir I. Man'ko

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© 1981 Springer-Verlag

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del Olmo, M.A., Rodríguez, M.A., Winternitz, P. (1981). Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_120

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  • DOI: https://doi.org/10.1007/3-540-54040-7_120

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54040-3

  • Online ISBN: 978-3-540-47363-3

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