Another formulation of the Wick’s theorem. Farewell, pairing?

Igor V. Beloussov

Special Matrices (2015)

  • Volume: 3, Issue: 1, page 169-174, electronic only
  • ISSN: 2300-7451

Abstract

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The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory, statistical physics, and quantum chemistry by the standard packages of the well known computer algebra systems.

How to cite

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Igor V. Beloussov. "Another formulation of the Wick’s theorem. Farewell, pairing?." Special Matrices 3.1 (2015): 169-174, electronic only. <http://eudml.org/doc/271781>.

@article{IgorV2015,
abstract = {The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory, statistical physics, and quantum chemistry by the standard packages of the well known computer algebra systems.},
author = {Igor V. Beloussov},
journal = {Special Matrices},
keywords = {vacuum expectation value; chronological product; contractions},
language = {eng},
number = {1},
pages = {169-174, electronic only},
title = {Another formulation of the Wick’s theorem. Farewell, pairing?},
url = {http://eudml.org/doc/271781},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Igor V. Beloussov
TI - Another formulation of the Wick’s theorem. Farewell, pairing?
JO - Special Matrices
PY - 2015
VL - 3
IS - 1
SP - 169
EP - 174, electronic only
AB - The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory, statistical physics, and quantum chemistry by the standard packages of the well known computer algebra systems.
LA - eng
KW - vacuum expectation value; chronological product; contractions
UR - http://eudml.org/doc/271781
ER -

References

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