q-path integrals |
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| Authors: | M. Chaichian A. P. Demichev |
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| Affiliation: | (1) High Energy Physics Laboratory, Department of Physics and Research Institute for High Energy Physics, University of Helsinky, Siltavuorenpenger 20 C, P.O.Box 9, FIN-00014 Helsinki, Finland;(2) Centro Brasileiro de Pesquisas Fisicas, CBPF/CNPq, Rua Dr. Xavier Sigaund, 150, 22290-180 Rio de Janeiro, RJ, Brasil |
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| Abstract: | We construct path integral representations for the evolution operator ofq-oscillators using Bargmann-Fock representations with commuting and non-commuting variables, the differential calculi beingq-deformed for both types of variables. The cases of real and root of unity values ofq-parameter are considered. Forq2=–1 case we obtain a new form of Grassmann-like path integral.Presented at the 4th Colloquium  Quantum Groups and Integrable Systems , Prague, 22–24 June 1995.On leave of absence from Nuclear Physics Institute, Moscow State University, 119899, Moscow, Russia. |
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