@article{AIHPA_1992__57_2_167_0, author = {Calogero, F. and Fran\c{c}oise, J.-P.}, title = {Integrable dynamical systems obtained by duplication}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {167--181}, publisher = {Gauthier-Villars}, volume = {57}, number = {2}, year = {1992}, mrnumber = {1184888}, zbl = {0766.58028}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1992__57_2_167_0/} }
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 SP - 167 EP - 181 VL - 57 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1992__57_2_167_0/ LA - en ID - AIHPA_1992__57_2_167_0 ER -
Calogero, F.; Françoise, J.-P. Integrable dynamical systems obtained by duplication. Annales de l'I.H.P. Physique théorique, Tome 57 (1992) no. 2, pp. 167-181. http://www.numdam.org/item/AIHPA_1992__57_2_167_0/
[1] 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. | MR | Zbl
,[2] Three Integrable Hamiltonian Systems Connected with Isospectral Deformations, Adv. Math., Vol. 16, 1975, pp. 1-23. | MR | Zbl
,[3] Exactly Solvable One-Dimensional Many-Body Problems, Lett. Nuovo Cimento, Vol. 13, 1975, pp.411-416. | MR
,[4] Classical Integrable Finite-Dimensional Systems Related to Lie Algebras, Physics Reports, Vol. 71, No. 5, 1981, pp. 313-400. | MR
and ,[5] Integrable Systems of Classical Mechanics and Lie Algebras, Vol. I, Birkhäuser, 1990. | MR | Zbl
,[6] Integrable Many-Body Problems in More than One Dimension, Reports Math. Phys., Vol. 24, 1986, pp. 141-143. | MR | Zbl
,[7] 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 Ed., S.M.S., Vol. 102, Presses de l'Université de Montréal, 1986, pp. 40-70. | MR | Zbl
,[8] Bound States in Completely Integrable Systems with Two Types of Particles, Ann. Inst. H. Poincaré, Vol. 29, 1978, pp. 169- 177. | Numdam | MR | Zbl
and ,[9] Systèmes intégrables à m-corps sur la droite, Bull. Soc. Math. France, T. 119, (2), 1991, pp. 111-122. | Numdam | MR | Zbl
,[10] Solution of a Three-Body Scattering Problem in One Dimension, J. Math. Phys., Vol. 11, 1970, pp. 2193-2196.
,