English

Bosonization method for second super quantization

Mathematical Physics 2015-05-14 v1 math.MP

Abstract

A bosonic-fermionic 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 symbols is rigorously constructed.

Keywords

Cite

@article{arxiv.0909.5160,
  title  = {Bosonization method for second super quantization},
  author = {Alexander Dynin},
  journal= {arXiv preprint arXiv:0909.5160},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T13:51:34.446Z