Solvable three-body problem and Painlevé conjectures

Theoretical and Mathematical Physics

Volumn 133, Issue 2, 2002, Pages 1445-1454

  Calogero, F ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

Linear ordinary differential equations; Painlev property; Three body problem

Indexed keywords

EID: 0036439346     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021182307514     Document Type: Article

References (8)

1. F. Calogero and J.-P. Françoise, Inverse Problems, 17, 1-8 (2001).
2. F. Calogero, Classical Many-Body Problems Amenable to Exact Treatments (Lect. Notes Phys., Vol. M. 66), Springer, Berlin (2001).
3. F. Calogero, J.-P. Françoise, and M. Sommacal, "Periodic solutions of a many-rotator problem in the plane: II. Analysis of various motions," J. Nonlinear Math. Phys. (in press).
4. F. Calogero, Nuovo Cimento B, 43, 177-241 (1978); Phys. D, 152-153, 78-84 (2001).
5. F. Calogero, Nuovo Cimento B, 43, 177-241 (1978); Phys. D, 152-153, 78-84 (2001).
6. F. Calogero, J. Math. Phys., 39, 5268-5291 (1998).
7. F. Calogero, J. Math. Phys., 38, 5711-5719 (1997).
8. F. Calogero, "Solution of a three-body problem in the plane," Phys. Lett. A (submitted).