9 citations · 9 across the 1 of their papers we have counts for
6 papers
On three quantization methods for particle on hyperboloid
Jean-Pierre Gazeau, Marc Lachieze-Rey, Wlodzimierz Piechocki
We compare the respective efficiencies of three quantization methods (group theoretical, coherent state and geometric) by quantizing the dynamics of a free massive particle in two-…
Topology of spacetime and quantization of particle dynamics
Wlodzimierz Piechocki
We compare classical and quantum dynamics of a particle in the de Sitter spacetimes with different topologies to show that the result of quantization strongly depends on global pro…
Topology of the Universe
Wlodzimierz Piechocki
General relativity is unable to determine the topology of the Universe. We propose to apply quantum approach. Quantization of dynamics of a test particle is sensitive to the spacet…
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.
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…