Scattering Theory of Classical and Quantum N-Particle Systems

A system of N non-relativistic classical particles interacting with pair potentials is described by a Hamiltonian of the form (0.0.1) This Hamiltonian generates a flow [(t) on the phase space JR3N x JR3N. An analogous system of N quantum particles is described by a Hamiltonian of the form N 1 H: = -L -Llj ] L lij(Xi - Xj) (0.0.2) j=l 2mj l$i