English

Path Integrals with Generalized Grassmann Variables

q-alg 2009-10-28 v1 High Energy Physics - Theory Quantum Algebra

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 q2=1q^2=-1 we obtain a new form of Grassmann-like path integral.

Keywords

Cite

@article{arxiv.q-alg/9504016,
  title  = {Path Integrals with Generalized Grassmann Variables},
  author = {M. Chaichian and A. P. Demichev},
  journal= {arXiv preprint arXiv:q-alg/9504016},
  year   = {2009}
}

Comments

9 pages, LaTeX