Monte Carlo Calculation of Quantum Systems

Minoru Takahashi, Masatoshi Imada

Research output: Contribution to journalArticle

106 Citations (Scopus)

Abstract

Thermodynamic properties of non-relativistic quantum systems are treated by the Monte Carlo calculation of path integrals. This method can be applied to the N-body problem. For boson systems the importance sampling of permutation and coordinates is efficient. For fermion systems direct calculation of determinant of propagators is efficient to avoid the negative sign problem.

Original languageEnglish
Pages (from-to)963-974
Number of pages12
JournalJournal of the Physical Society of Japan
Volume53
Issue number3
DOIs
Publication statusPublished - 1984 Jan 1
Externally publishedYes

Fingerprint

many body problem
permutations
determinants
bosons
thermodynamic properties
fermions
sampling
propagation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Monte Carlo Calculation of Quantum Systems. / Takahashi, Minoru; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 53, No. 3, 01.01.1984, p. 963-974.

Research output: Contribution to journalArticle

@article{8845d9a1c8fa4bc69e0e9822926cfa50,
title = "Monte Carlo Calculation of Quantum Systems",
abstract = "Thermodynamic properties of non-relativistic quantum systems are treated by the Monte Carlo calculation of path integrals. This method can be applied to the N-body problem. For boson systems the importance sampling of permutation and coordinates is efficient. For fermion systems direct calculation of determinant of propagators is efficient to avoid the negative sign problem.",
author = "Minoru Takahashi and Masatoshi Imada",
year = "1984",
month = "1",
day = "1",
doi = "10.1143/JPSJ.53.963",
language = "English",
volume = "53",
pages = "963--974",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "3",

}

TY - JOUR

T1 - Monte Carlo Calculation of Quantum Systems

AU - Takahashi, Minoru

AU - Imada, Masatoshi

PY - 1984/1/1

Y1 - 1984/1/1

N2 - Thermodynamic properties of non-relativistic quantum systems are treated by the Monte Carlo calculation of path integrals. This method can be applied to the N-body problem. For boson systems the importance sampling of permutation and coordinates is efficient. For fermion systems direct calculation of determinant of propagators is efficient to avoid the negative sign problem.

AB - Thermodynamic properties of non-relativistic quantum systems are treated by the Monte Carlo calculation of path integrals. This method can be applied to the N-body problem. For boson systems the importance sampling of permutation and coordinates is efficient. For fermion systems direct calculation of determinant of propagators is efficient to avoid the negative sign problem.

UR - http://www.scopus.com/inward/record.url?scp=0021385850&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021385850&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.53.963

DO - 10.1143/JPSJ.53.963

M3 - Article

AN - SCOPUS:0021385850

VL - 53

SP - 963

EP - 974

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -