1997/09/08 by George Jorjadze, Wlodzimierz Piechocki
Physics and Astronomy · #hep-th
published as Theor.Math.Phys. 118 (1999) 183-196; Teor.Mat.Fiz. 118 (1999) 229-247 · 17 pages, Latex, no figures
arxiv created 1997/09/08 · arxiv updated 2009/11/30
A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is SL(2,R)/Z2. The corresponding dynamical integrals describe full set of classical trajectories. Dynamical integrals are used for the gauge-invariant Hamiltonian reduction. The new scheme is proposed for quantization of the reduced system. Obtained quantum system reproduces classical symmetry. Physical aspects of the model are discussed.