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

How to cite

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.