TY - JOUR
T1 - Monte Carlo Calculation of Quantum Systems. II. Higher Order Correction
AU - Takahashi, Minoru
AU - Imada, Masatoshi
PY - 1984
Y1 - 1984
N2 - 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+(h+2/24m)(B/M)2 ENi=1(dV/dri)2, where ri's are coordinates of particles, N is number of particles with mass m, B is (kT)-l 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.
AB - 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+(h+2/24m)(B/M)2 ENi=1(dV/dri)2, where ri's are coordinates of particles, N is number of particles with mass m, B is (kT)-l 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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U2 - 10.1143/JPSJ.53.3765
DO - 10.1143/JPSJ.53.3765
M3 - Article
AN - SCOPUS:2842574881
VL - 53
SP - 3765
EP - 3769
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 11
ER -