The Classical Mechanics for Bose-Fermi Systems
Mar, 197654 pages
Published in:
- Nuovo Cim.A 33 (1976) 389
DOI:
Report number:
- CERN-TH-2139
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Abstract: (Springer)
In this paper we study in a systematic way the classical mechanics of systems described byc-number variables and by Grassmann variables. We derive the general form of the nonrelativistic action and we study the theory of canonical transformations. For a general action, we show that the Jacobian matrices of the canonical transformations acting onN Grassmann variables form a groupON, N. This group becomesON for the nonrelativistic action, due to the presence of second-class constraints. We study some examples which give rise to a correct classical description of the spin. Considering a relativistic extension of one of these models, we get a first quantized «substratum» for the superfield theories.- MECHANICS: CLASSICAL
- ALGEBRA: GRASSMANN
- TRANSFORMATION
- MECHANICS: QUANTIZATION
- GROUP THEORY: O(N,N)
- GROUP THEORY: O(N)
- MECHANICS: RELATIVISTIC
- FIELD THEORY: SUPERSYMMETRY
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