Geodesic
A relativistic particle in the Liouville field
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 229-247

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. 
@article{TMF_1999_118_2_a4,
     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},
     publisher = {mathdoc},
     volume = {118},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a4/}
}
TY  - JOUR
AU  - G. P. Jorjadze
AU  - W. Piechocki
TI  - A relativistic particle in the Liouville field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 229
EP  - 247
VL  - 118
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a4/
LA  - ru
ID  - TMF_1999_118_2_a4
ER  - 
%0 Journal Article
%A G. P. Jorjadze
%A W. Piechocki
%T A relativistic particle in the Liouville field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 229-247
%V 118
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a4/
%G ru
%F TMF_1999_118_2_a4
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/