Monte Carlo Calculation of Quantum Systems. II. Higher Order Correction

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The higher order correction term is obtained for the Monte Carlo calculation of the path integral. The correction is expressed only by a modification of the potential term: V(r1,…,rN)→V+(h2⁄24m)(β⁄M)2i=1N (∂V⁄∂ri)2, where ri’s are coordinates of particles, N is number of particles with mass m, β is (kT)−1 and M is number of partitions. By this method one can reduce the computation time remarkably. A rapid convergence of energy is obtained for the case of harmonic oscillator.

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