Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels

G. Burdet; M. Perrin

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 54, Issue: 1, page 27-42
  • ISSN: 0246-0211

How to cite

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Burdet, G., and Perrin, M.. "Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels." Annales de l'I.H.P. Physique théorique 54.1 (1991): 27-42. <http://eudml.org/doc/76520>.

@article{Burdet1991,
author = {Burdet, G., Perrin, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {amplified group; Galilei group; Weyl-Heisenberg group; quantum dynamical systems; Lie groups; symplectic groups; Lagrangian form; geometrical structures; systems of material points},
language = {fre},
number = {1},
pages = {27-42},
publisher = {Gauthier-Villars},
title = {Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels},
url = {http://eudml.org/doc/76520},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Burdet, G.
AU - Perrin, M.
TI - Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 54
IS - 1
SP - 27
EP - 42
LA - fre
KW - amplified group; Galilei group; Weyl-Heisenberg group; quantum dynamical systems; Lie groups; symplectic groups; Lagrangian form; geometrical structures; systems of material points
UR - http://eudml.org/doc/76520
ER -

References

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  1. [1] J.M. Souriau, Structures des systèmes dynamiques, Dunod Université;, Paris, 1970. Zbl0186.58001MR260238
  2. [2] V. Arnold, Les méthodes mathématiques de la mécanique classique, éditions Mir, Moscou, 1976. Zbl0385.70001MR474391
  3. [3] V. Guillemin et S. Sternberg, Symplectic Techniques in Physics, Cambridge University Press, 1984. Zbl0576.58012MR770935
  4. [4] C. Duval et H.P. Kunzle, Reports on Mathematical Physics, vol. 13, 1978, p.351-368. Zbl0409.70014MR514294
  5. [5] G. Burdet, C. Duval et M. Perrin, J. Math. Phys., vol. 24, 1983, p. 1752-1760; Publications of the Research Institute for Mathematical Science (Kyoto University), vol. 19, 1983, p.813-840; Class. Quantum Gravity, vol. 3, 1986, p. 461-480. Zbl0515.53023MR841893

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