General Wick's theorem for bosonic and fermionic operators
Autor: | Lajos Diósi, Luca Ferialdi |
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Rok vydání: | 2021 |
Předmět: |
High Energy Physics - Theory
Physics Quantum Physics Pure mathematics 010308 nuclear & particles physics FOS: Physical sciences Mathematical Physics (math-ph) Type (model theory) 01 natural sciences Connection (mathematics) Wick's theorem Operator (computer programming) High Energy Physics - Theory (hep-th) 0103 physical sciences Commutation Quantum Physics (quant-ph) 010306 general physics Mathematical Physics |
Zdroj: | Phys. Rev. A |
ISSN: | 2469-9934 2469-9926 |
DOI: | 10.1103/physreva.104.052209 |
Popis: | Wick's theorem provides a connection between time ordered products of bosonic or fermionic fields, and their normal ordered counterparts. We consider a generic pair of operator orderings and we prove, by induction, the theorem that relates them. We name this the General Wick's Theorem (GWT) because it carries Wick's theorem as special instance, when one applies the GWT to time and normal orderings. We establish the GWT both for bosonic and fermionic operators, i.e. operators that satisfy c-number commutation and anticommutation relations respectively. We remarkably show that the GWT is the same, independently from the type of operator involved. By means of a few examples, we show how the GWT helps treating demanding problems by reducing the amount of calculations required. |
Databáze: | OpenAIRE |
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