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Topology of solutions of the Liouville equation
Wlodzimierz Piechocki
Suggestions concerning the generalization of the geometric quantization to the case of nonlinear field theories are given. Results for the Liouville field theory are presented.
Topology of the set of smooth solutions to the Liouville equation
Kazimierz Bragiel, Wlodzimierz Piechocki
We prove that the space of smooth initial data and the set of smooth solutions of the Liouville equation are homeomorphic.
Dynamical Ambiguities in Singular Gravitational Field
George Jorjadze, Wlodzimierz Piechocki
We consider particle dynamics in singular gravitational field. In 2d spacetime the system splits into two independent gravitational systems without singularity. Dynamical integrals…
Relativistic Particle in the Liouville Field
George Jorjadze, Wlodzimierz Piechocki
A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is . The corresponding dynamical integrals describe full…