Felix Alexandrovich Berezin (25 April 1931 – 1980) was a Russian mathematician and physicist known for his contributions to the theory of supersymmetry and supermanifolds as well as to the path integral formulation of quantum field theory. April 25 is the 115th day of the year in the Gregorian Calendar (116th in leap years). ... 1931 (MCMXXXI) is a common year starting on Thursday. ... 1980 (MCMLXXX) was a leap year starting on Tuesday. ... This article is in need of attention from an expert on the subject. ... A physicist is a scientist trained in physics. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... // Physics In physics a supermanifold is a manifold with both bosonic and fermionic coordinates. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Quantum field theory (QFT) is the application of quantum mechanics to fields. ...

The Berezin integral over anticommuting Grassmann variables is named for him, as is the closely related construction of the Berezinian which may be regarded as the "super"-analog of the determinant. In linear algebra, a determinant is a function depending on n that associates a scalar det(A) to every n×n square matrix A. The fundamental geometric meaning of a determinant is as the scale factor for volume when A is regarded as a linear transformation. ...

Works

• The Method of Second Quantization, Academic Press (1966).
• Introduction to Superanalysis, Springer (1987).

References

• Robert A. Minlos (Oct 2005). Felix Alexandrovich Berezin (A Brief Scientific Biography). Letters in Mathematical Physics 74: 5–19.