Geodesic
A relativistic particle in the Liouville field
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 229-247 
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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     author = {G. P. Jorjadze and W. Piechocki},
     title = {A relativistic particle in the {Liouville} field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {229--247},
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     volume = {118},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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