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Measures for Fermionic Integration
Author(s) -
Kupsch J.
Publication year - 1987
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190350503
Subject(s) - measure (data warehouse) , functional integration , mathematics , gaussian integral , exterior algebra , gaussian measure , algebra over a field , space (punctuation) , pure mathematics , gaussian , mathematical analysis , integral equation , computer science , physics , quantum mechanics , operating system , database
The formal Berezin integral for anticommuting variables is modified to a functional which can be applied directly to an infinite dimensional Grassmann algebra. Then a Gaussian measure is constructed on an extended Grassmann algebra and the functional integral is realized as integral on this measure space.