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

Minoru Takahashi, Masatoshi Imada

Research output: Contribution to journalArticle

198 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3765-3769
Number of pages5
JournalJournal of the Physical Society of Japan
Volume53
Issue number11
DOIs
Publication statusPublished - 1984 Jan 1
Externally publishedYes

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harmonic oscillators
partitions
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Monte Carlo Calculation of Quantum Systems. II. Higher Order Correction. / Takahashi, Minoru; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 53, No. 11, 01.01.1984, p. 3765-3769.

Research output: Contribution to journalArticle

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