Momentum-dependent potentials: Towards the molecular dynamics of fermionlike classical particles

We investigate classical Hamiltonian models for particles interacting with steep differential repulsive barriers both in coordinate and momentum space. The final aim is to define a classical system of many particles behaving as fermions in many respects. In this paper we examine the appearance of the phase portrait of one- or two-particle systems to skim the essential features that would later be transcribed to the basic rules of a molecular dynamics algorithm. One of the remarkable properties of the phase portrait is the flow from states that start far away with a wide range of momentum towards a narrow region in momentum-a virtual locking of momentum-in the vicinity of the steepest part of the barrier in momentum space. The central ideas are developed through two examples in one and two dimensions. © 1995 The American Physical Society.Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina