Relativistic Particle in the Liouville Field
Abstract
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.
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