The Sutherland and Calogero N-body Models
It describes the dynamics of N-particles lying on a circle, with interaction between them (r being the absolute distance between the particles i.e. chord length).
Sutherland model is described by the Hamiltonian
![]() | (1) |
with corresponding equations of motion (L being the length of the circle)
![]() | (2) |
![]() | (2) |
or explicitly
![]() | (3) |
The Calogero N-body model is similar to Sutherland N-body model--Calogero model describes the dynamics of N-particles lying on a straight line, with interaction between them
Created by Mathematica (April 26, 2006) | ![]() |