Self-adaptive quadrature and numerical path integration

In the present paper we explore the use of generalized Gaussian quadrature methods in the context of equilibrium path integral applications. Using mom ent techniques, we devise a compact, self-adaptive approach for use in conj unction with selected classes of interaction potentials. We demonstrate tha t, when applicable, the resulting approach reduces appreciably the number o f potential energy evaluations required in equilibrium path integral simula tions. (C) 2000 American Institute of Physics. [S0021-9606(00)00131-8].