Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-09-08
Theor.Math.Phys. 118 (1999) 183-196; Teor.Mat.Fiz. 118 (1999) 229-247
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, Latex, no figures
Scientific paper
A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is $SL(2,R)/Z_2$. 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.
Jorjadze George
Piechocki Wlodzimierz
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