Systèmes intégrables à m -corps sur la droite

J.-P. Françoise

Mémoires de la Société Mathématique de France (1991)

  • Volume: 46, page 111-122
  • ISSN: 0249-633X

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Françoise, J.-P.. "Systèmes intégrables à $m$-corps sur la droite." Mémoires de la Société Mathématique de France 46 (1991): 111-122. <http://eudml.org/doc/94889>.

@article{Françoise1991,
author = {Françoise, J.-P.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Hamiltonian systems; Calogero-Moser model; integrable systems; periodic orbits; many-body systems},
language = {fre},
pages = {111-122},
publisher = {Société mathématique de France},
title = {Systèmes intégrables à $m$-corps sur la droite},
url = {http://eudml.org/doc/94889},
volume = {46},
year = {1991},
}

TY - JOUR
AU - Françoise, J.-P.
TI - Systèmes intégrables à $m$-corps sur la droite
JO - Mémoires de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 46
SP - 111
EP - 122
LA - fre
KW - Hamiltonian systems; Calogero-Moser model; integrable systems; periodic orbits; many-body systems
UR - http://eudml.org/doc/94889
ER -

References

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  1. ([A]) M. ADLER"Some Finite Dimensional Integrable Systems and Their Scattering Behavior" Commun. Math. Phys. 55 (1977) pp.195-230. Zbl0366.58004MR57 #18312
  2. ([C]) F. CALOGERO, "Solution of the one-dimensional n-body problems with quadratic and/or inversely quadratic pair potentials", J. of Math. Phys. 12 (1973), pp.419-436. Zbl1002.70558MR43 #5824
  3. ([F1]) J.P. FRANCOISE"Canonical Partition Functions of Hamiltonian Systems and the Stationary Phase Formula" Comm. Math. Physics vol.117,1 (1988) pp.37-47. Zbl0665.58013MR89k:58117
  4. ([F2]) J.P. FRANCOISE"Symplectic geometry and integrable m-body problems on the line" J. Math.Phys. 29(5) (1988) pp.1150-1153. Zbl0656.70007MR90b:58075
  5. ([F-R]) J.P. FRANCOISE-O.RAGNISCO"Matrix second-order differential equations and Hamiltonian systems of quartic type" Annales de l'Institut H. Poincaré vol.49, n°3, 1989, pp369-375. Zbl0695.58012MR90k:58083
  6. ([K.K.S]) J. KAZHDAN-B. KOSTANT-S. STERNBERG"Hamiltonian Group Actions and Dynamical Systems of Calogero type" Comm. Pure Appl. Math. 31 (1978) pp.481-508. Zbl0368.58008MR57 #17711
  7. ([M1]) J. MOSER"Various aspects of integrable Hamiltonian systems" Proc. CIME conf. held in Bressanone, (1978). Zbl0468.58011
  8. ([M2]) J. MOSER"Geometry of quadrics and spectral theory, Berkeley 1979, Springer-Verlag, 1980, pp.147-188. Zbl0455.58018MR82j:58064

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