Data di Pubblicazione:
2023
Citazione:
Friedrichs diagrams: bosonic and fermionic / M. Brooks, S. Lill. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 113:5(2023 Sep 16), pp. 101.1-101.26. [10.1007/s11005-023-01715-6]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Friedrichs diagrams; Many-body physics; Quantum field theory; Hartree equation; Feynman diagrams
Elenco autori:
M. Brooks, S. Lill
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