Integrable dynamical systems obtained by duplication

F. Calogero; J.-P. Françoise

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 57, Issue: 2, page 167-181
  • ISSN: 0246-0211

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Calogero, F., and Françoise, J.-P.. "Integrable dynamical systems obtained by duplication." Annales de l'I.H.P. Physique théorique 57.2 (1992): 167-181. <http://eudml.org/doc/76583>.

@article{Calogero1992,
author = {Calogero, F., Françoise, J.-P.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {integrable systems; Calogero-Moser systems},
language = {eng},
number = {2},
pages = {167-181},
publisher = {Gauthier-Villars},
title = {Integrable dynamical systems obtained by duplication},
url = {http://eudml.org/doc/76583},
volume = {57},
year = {1992},
}

TY - JOUR
AU - Calogero, F.
AU - Françoise, J.-P.
TI - Integrable dynamical systems obtained by duplication
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 57
IS - 2
SP - 167
EP - 181
LA - eng
KW - integrable systems; Calogero-Moser systems
UR - http://eudml.org/doc/76583
ER -

References

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  1. [1] F. Calogero, Solution of the One-Dimensional n-Body Problem with Quadratic and/or Inversely Quadratic Pair Potentials, J. Math. Phys., Vol. 12, 1971, pp.419-436. Zbl1002.70558MR280103
  2. [2] J. Moser, Three Integrable Hamiltonian Systems Connected with Isospectral Deformations, Adv. Math., Vol. 16, 1975, pp. 1-23. Zbl0303.34019MR375869
  3. [3] F. Calogero, Exactly Solvable One-Dimensional Many-Body Problems, Lett. Nuovo Cimento, Vol. 13, 1975, pp.411-416. MR388895
  4. [4] M.A. Olshanetsky and A.M. Perelomov, Classical Integrable Finite-Dimensional Systems Related to Lie Algebras, Physics Reports, Vol. 71, No. 5, 1981, pp. 313-400. MR615898
  5. [5] A.M. Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras, Vol. I, Birkhäuser, 1990. Zbl0699.70003MR1048350
  6. [6] F. Calogero, Integrable Many-Body Problems in More than One Dimension, Reports Math. Phys., Vol. 24, 1986, pp. 141-143. Zbl0637.70007MR932941
  7. [7] F. Calogero, Integrable Dynamical Systems and Some Other Mathematical Results (Remarkable Matrices, Identities, Basic Hypergeometric Functions), Notes of Lectures Presented at the Summer School Held at the Université de Montréal, July 29-August 16, 1985. In Systèmes Dynamiques Non Linéaires: Intégrabilité et Comportement Qualitatif P. Winternitz Ed., S.M.S., Vol. 102, Presses de l'Université de Montréal, 1986, pp. 40-70. Zbl0634.58005MR861988
  8. [8] M.A. Olsohanetsky and V.-B.K. Rogov, Bound States in Completely Integrable Systems with Two Types of Particles, Ann. Inst. H. Poincaré, Vol. 29, 1978, pp. 169- 177. Zbl0416.58014MR513688
  9. [9] J.-P. Françoise, Systèmes intégrables à m-corps sur la droite, Bull. Soc. Math. France, T. 119, (2), 1991, pp. 111-122. Zbl0774.58016MR1125839
  10. [10] C. Marchioro, Solution of a Three-Body Scattering Problem in One Dimension, J. Math. Phys., Vol. 11, 1970, pp. 2193-2196. 

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