Path Integrals with Generalized Grassmann Variables

Abstract

We construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using Bargmann-Fock representations with commuting and non-commuting variables, the differential calculi being q-deformed in both cases. For $q^2=-1$ we obtain a new form of Grassmann-like path integral.

9 pages, LaTeX

References in corpus (1)

• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta

Cited by in corpus (6)

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• Para-Grassmann Variables and Coherent States
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• Coherent States and Generalized Hermite Polynomials for fractional statistics -- interpolating from fermions to bosons