Partition function from the Green function

Y. Avishai; J. Richert

doi:10.1088/0305-4470/17/14/005

Partition function from the Green function

Research output: Contribution to journal › Letter › peer-review

Abstract

The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive. Some weak points are underlined. The authors also discuss the evaluation of statistical averages using the pertinent procedure.

Original language	English
Pages (from-to)	L751-L755
Journal	Journal of Physics A: Mathematical and General
Volume	17
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/17/14/005
State	Published - 1 Oct 1984
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/0305-4470/17/14/005

Cite this

@article{ae4a5380b91449df81f68838958c5e84,

title = "Partition function from the Green function",

abstract = "The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive. Some weak points are underlined. The authors also discuss the evaluation of statistical averages using the pertinent procedure.",

author = "Y. Avishai and J. Richert",

year = "1984",

month = oct,

day = "1",

doi = "10.1088/0305-4470/17/14/005",

language = "English",

volume = "17",

pages = "L751--L755",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "14",

}

TY - JOUR

T1 - Partition function from the Green function

AU - Avishai, Y.

AU - Richert, J.

PY - 1984/10/1

Y1 - 1984/10/1

N2 - The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive. Some weak points are underlined. The authors also discuss the evaluation of statistical averages using the pertinent procedure.

AB - The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive. Some weak points are underlined. The authors also discuss the evaluation of statistical averages using the pertinent procedure.

UR - http://www.scopus.com/inward/record.url?scp=36149039855&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/17/14/005

DO - 10.1088/0305-4470/17/14/005

M3 - Letter

AN - SCOPUS:36149039855

SN - 0305-4470

VL - 17

SP - L751-L755

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 14

ER -

Partition function from the Green function

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this