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