### Abstract

Wick's theorem, known for yielding normal ordered from time-ordered bosonic fields, may be generalized for a simple relationship between any two orderings that we define over canonical variables, in a broader sense than before. In this broad class of orderings, the general Wick theorem follows from the Baker-Campbell-Hausdorff identity. We point out that, generally, the characteristic function does not induce an unambigous scheme to order the multiple products of the canonical operators although the value of the ordered product is unique. We construct a manifold of different schemes for each value of s of s-orderings of Cahill and Glauber.

Original language | English |
---|---|

Article number | 365201 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 51 |

Issue number | 36 |

DOIs | |

Publication status | Published - Jul 25 2018 |

### Fingerprint

### Keywords

- Baker-Campbell-Hausdorff identity
- bosonic operators
- Operator orderings
- Wick's theorem

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

**Wick theorem for all orderings of canonical operators.** / Diósi, L.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 51, no. 36, 365201. https://doi.org/10.1088/1751-8121/aad0a6

}

TY - JOUR

T1 - Wick theorem for all orderings of canonical operators

AU - Diósi, L.

PY - 2018/7/25

Y1 - 2018/7/25

N2 - Wick's theorem, known for yielding normal ordered from time-ordered bosonic fields, may be generalized for a simple relationship between any two orderings that we define over canonical variables, in a broader sense than before. In this broad class of orderings, the general Wick theorem follows from the Baker-Campbell-Hausdorff identity. We point out that, generally, the characteristic function does not induce an unambigous scheme to order the multiple products of the canonical operators although the value of the ordered product is unique. We construct a manifold of different schemes for each value of s of s-orderings of Cahill and Glauber.

AB - Wick's theorem, known for yielding normal ordered from time-ordered bosonic fields, may be generalized for a simple relationship between any two orderings that we define over canonical variables, in a broader sense than before. In this broad class of orderings, the general Wick theorem follows from the Baker-Campbell-Hausdorff identity. We point out that, generally, the characteristic function does not induce an unambigous scheme to order the multiple products of the canonical operators although the value of the ordered product is unique. We construct a manifold of different schemes for each value of s of s-orderings of Cahill and Glauber.

KW - Baker-Campbell-Hausdorff identity

KW - bosonic operators

KW - Operator orderings

KW - Wick's theorem

UR - http://www.scopus.com/inward/record.url?scp=85051486907&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051486907&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aad0a6

DO - 10.1088/1751-8121/aad0a6

M3 - Article

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 36

M1 - 365201

ER -