Friedrichs diagrams: bosonic and fermionic

被引：0

作者：

Brooks, Morris ^{[1
]}

Lill, Sascha ^{[2
]}

机构：

[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[2] Univ Milan, Dipartimento Matemat, Via Cesare Saldini 50, I-20133 Milan, Italy

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2023年 / 113卷 / 05期

基金：

欧洲研究理事会;

关键词：

Friedrichs diagrams; Many-body physics; Quantum field theory; Hartree equation; Feynman diagrams;

D O I：

10.1007/s11005-023-01715-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a mathematically precise review of a diagrammatic language introduced by Friedrichs in order to simplify computations with creation and annihilation operator products. In that language, we establish explicit formulas and algorithms for evaluating bosonic and fermionic commutators. Further, as an application, we demonstrate that the nonlinear Hartree dynamics can be seen as a subset of the diagrams arising in the time evolution of a Bose gas.

引用

页数：26

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