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Group Theoretical Methods in Physics pp 122–128Cite as

Variational characterization of Hamiltonian vectorfields as lie algebra of canonical diffeomorphisms

  • Canonical Transformation and Quantum Mechanics
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Part of the book series: Lecture Notes in Physics ((LNP,volume 135))

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References

  1. V.I.Arnold, Sur la géometriedifferentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits, Ann, Inst.Founer, Grenoble 16 (1) (1966) 319–361.

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  2. V.I. Arnold, Sur un principe variationnel pour les écoulements stationnaires des liquides parfaits et ses applications aux problèmes de stabilité non lineáires, Journal de Mécanique 5(1) (1966) 29–43.

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  3. V.I. Arnold, Mathematical Methods of Classical Mechanics Springer Verlag, New York, 1978.

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  4. D.G. Ebin & J. Marsden, Groups of diffeorphisms and the motion of an in compressible fluid, Ann. of Math. 92 (1970) 102–163.

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  5. J. Marsden, Applications of Global Analysis in Mathematical Physics, Publishor Perish, Inc., Lecture Notes #3, Boston, Mass, 1974.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Autónoma Metropolitana, Iztapalapa, Apdo. Postal 55-534, México 13, D.F., México

    Ernesto A. Lacomba

  2. Laboratoire de Mécanique Théorique, Université de Besançon, 25030, Besançon, France

    Lucette Losco

Authors
  1. Ernesto A. Lacomba
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  2. Lucette Losco
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Kurt Bernardo Wolf

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© 1980 Springer-Verlag

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Lacomba, E.A., Losco, L. (1980). Variational characterization of Hamiltonian vectorfields as lie algebra of canonical diffeomorphisms. In: Wolf, K.B. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 135. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-10271-X_318

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  • DOI: https://doi.org/10.1007/3-540-10271-X_318

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10271-7

  • Online ISBN: 978-3-540-38396-3

  • eBook Packages: Springer Book Archive

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