Integrable and solvable many-body problems in the plane via complexification

Journal of Mathematical Physics

Volumn 39, Issue 10, 1998, Pages 5268-5291

  Calogero, F ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032342789     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532570     Document Type: Article

References (13)

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4. F. Calogero and J.-P. Françoise, "Solution of certain integrable dynamical systems with completely periodic trajectories," Ann. Inst. H. Poincaré (submitted).
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6. M. A. Olshanetsky and A. M. Perelomov, "Classical integrable finite-dimensional systems related to Lie algebras," Phys. Rep. 71, 313-400 (1981).
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10. R. I. Yamilov: "Classification of Toda type scalar lattices," in Nonlinear Evolution Equations and Dynamical Systems-NEEDS' 92, edited by V. Makhankov, I. Puzynin, and O. Pashaev (World Scientific, Singapore, 1993), pp. 423-431.
11. F. Calogero, "An integrable Hamiltonian system," Phys. Lett. A 201, 306-310 (1995).
12. F. Calogero, "Motion of strings in the plane: A solvable model. I," J. Math. Phys. 38, 821-829 (1997).
13. F. W. Nijhoff, V. Kuznetsov, and O. Ragnisco, "Integrable discretization of the Ruijsenaars-Schneider system," Commun. Math. Phys. 176, 681-700 (1996).