Geodesic
A relativistic particle in the Liouville field
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 229-247 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate a model for a relativistic particle in the Liouville field. The model is $SL(2,R)/Z_2$ invariant. The corresponding dynamic integrals describe the whole set of classical trajectories. These integrals are used for the gauge-invariant Hamiltonian reduction. We propose a new scheme for quantizing the reduced system. The quantum system obtained reproduces the classical symmetry. We discuss the physical aspects of the model. 
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G. P. Jorjadze; W. Piechocki. A relativistic particle in the Liouville field. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 229-247. http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a4/

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