Felix Berezin

Felix Alexandrovich Berezin (Russian: Фе́ликс Алекса́ндрович Бере́зин; 25 April 1931 – 14 July 1980) was a Soviet 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.

Felix Berezin
Born	(1931-04-25)25 April 1931 Moscow
Died	14 July 1980(1980-07-14) (aged 49) in the region of Kolyma
Nationality	Soviet
Alma mater	Moscow State University
Known for	Berezinian Berezin formula Berezin integral Berezin transform Berezin–Harish–Chandra formula Supermathematics
Scientific career
Fields	Mathematics Theoretical physics
Institutions	Moscow State University
Doctoral advisor	Israel Gelfand
Doctoral students	Anatoly Stepin

Berezin studied at the Moscow State University, but was not allowed to do his graduate studies there on account of his Jewish origin (his mother was Jewish). For the next three years Berezin taught at Moscow high schools. He continued to study mathematical physics under direction of Israel Gelfand. After Khrushchev's liberalization, he joined the Department of Mathematics at the Moscow State University at the age of 25.

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.

Berezin drowned during a summer trip in the region of Kolyma.

Works

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

See also

• Oscillator representation

References

• Felix Berezin at the Mathematics Genealogy Project
• Yu. I. Manin; M. A. Markov; S. P. Novikov; V. I. Ogievetsky; V. Ya. Faynberg; E. S. Fradkin (1981). "Feliks Aleksandrovich Berezin". Soviet Physics Uspekhi (Obituary). 24 (6): 528–529. Bibcode:1981SvPhU..24..528M. doi:10.1070/PU1981v024n06ABEH004854. (also available in Russian)
• Robert A. Minlos (2005). "Felix Alexandrovich Berezin (A Brief Scientific Biography)". Letters in Mathematical Physics. 74 (1): 5–19. Bibcode:2005LMaPh..74....5M. doi:10.1007/s11005-005-0023-9. S2CID 121133609.
• N. N. Bogolyubov; I. M. Gelfand; R. L. Dobrushin; A. A. Kirillov; M. G. Krein; D. A. Leites; R. A. Minlos; Ya. G. Sinai; M. A. Shubin (1981). "Feliks Aleksandrovich Berezin. Obituary". Uspekhi Mat. Nauk (in Russian). 36 (4): 185–190.
• Mikhail Shifman, ed. (2007). Felix Berezin, The Life and Death of the Mastermind of Supermathematics. Singapore: World Scientific. ISBN 978-981-270-532-7. Archived from the original on 2007-09-27. Retrieved 2007-01-09.

External links

• Felix Berezin at the Mathematics Genealogy Project