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Proof of Jacobi identity in generalized quantum dynamics
Journal article   Open access  Peer reviewed

Proof of Jacobi identity in generalized quantum dynamics

Stephen L Adler, Gyan V Bhanot and John D Weckel
Journal of mathematical physics, Vol.35(2), pp.531-535
02/1994
DOI: https://doi.org/10.1063/1.530651

Abstract

HILBERT SPACE HEISENBERG PICTURE QUANTUM OPERATORS FERMIONS COMMUTATION RELATIONS QUANTUM MECHANICS QUANTUM FIELD THEORY FG02−90ER40542 BOSONS GAUGE INVARIANCE
It is proven that the Jacobi identity for the generalized Poisson bracket is satisfied in the generalization of Heisenberg picture quantum mechanics recently proposed by one of the authors. The identity holds for any combination of fermionic and bosonic fields, and requires no assumptions about their mutual commutativity.
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