Journal of Physics A Mathematical and General

Groups of automorphisms of the canonical commutation and anticommutation relations

Harald Grosse, L. Pittner

Published Aug 7, 1988• 6 citations

Abstract

Observables of supersymmetric quantum mechanics are coded by taking the antisymmetric tensor product with anticommuting parameters. Next the authors define superunitary transformations, which mix bosonic and fermionic degrees of freedom, in order to construct automorphisms of the canonical (anti)commutation relations (C(A)CR). Conversely, every automorphism of the C(A)CR is implemented by an essentially unique superunitary transformation.

DOI: 10.1088/0305-4470/21/15/012

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