A novel solvable many-body problem with elliptic interactions
Calogero, Francesco ; Françoise , Jean-Pierre
HAL, hal-01408116 / Harvested from HAL
Text on HAL
The Hamiltonian system characterized by the Newtonian equations of motion x¨n=∑Nm=1,m≠nx˙nx˙mw(xn−xm),   w(x)=2  ζ(x)+λx, where ζ(x)≡ζ(x|w,w′) is the Weierstrass zeta function and λ is an arbitrary constant, is solvable provided there holds the single constraint (on the initial data) ∑Nn=1x˙n(t)=∑Nn=1x˙n(0)=0.
Publié le : 2000-07-04
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01408116,
     author = {Calogero, Francesco and Fran\c coise , Jean-Pierre },
     title = {A novel solvable many-body problem with elliptic interactions },
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01408116}
}

Calogero, Francesco; Françoise , Jean-Pierre . A novel solvable many-body problem with elliptic interactions . HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01408116/