Bosonization Method for Second Super Quantization

2009/09/28 by Alexander Dynin
Engineering · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Bosonization #Calculus (dental) #Creation and annihilation operators #Fermion #Feynman diagram #Feynman integral #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Orbital Angular Momentum in Optics #Photonic and Optical Devices #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum mechanics #Second quantization #Transformation (genetics) #math-ph #math.MP #msc:81S05

paper · pdf · doi:10.1142/s1402925110000763

In memoriam of F. A. Berezin, accepted in Journal of Nonlinear Mathematical Physics, 15 pages

arxiv created 2009/09/28 · openalex publication_date 2010/11/23 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A boson-fermion correspondence allows an analytic definition of functional super derivative, in particular, and a bosonic functional calculus, in general, on Bargmann Gelfand triples for the second super quantization. A Feynman integral for the super transformation matrix elements in terms of bosonic anti-normal Berezin-Sudarshan symbols is rigorously constructed.

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