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) |