Advertisement

Variational characterization of Hamiltonian vectorfields as lie algebra of canonical diffeomorphisms

  • Ernesto A. Lacomba
  • Lucette Losco
Canonical Transformation and Quantum Mechanics
Part of the Lecture Notes in Physics book series (LNP, volume 135)

Keywords

Vector Field Variational Principle Compressible Fluid Variational Characterization Hamiltonian Vector Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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.MATHGoogle Scholar
  2. 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.MATHGoogle Scholar
  3. 3.
    V.I. Arnold, Mathematical Methods of Classical Mechanics Springer Verlag, New York, 1978.Google Scholar
  4. 4.
    D.G. Ebin & J. Marsden, Groups of diffeorphisms and the motion of an in compressible fluid, Ann. of Math. 92 (1970) 102–163.MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    J. Marsden, Applications of Global Analysis in Mathematical Physics, Publishor Perish, Inc., Lecture Notes #3, Boston, Mass, 1974.MATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Ernesto A. Lacomba
    • 1
  • Lucette Losco
    • 2
  1. 1.Departamento de MatemáticasUniversidad Autónoma MetropolitanaMéxico 13, D.F.México
  2. 2.Laboratoire de Mécanique ThéoriqueUniversité de BesançonBesançonFrance

Personalised recommendations