
The complex Minkowski phase space has the physical interpretation of the phase space of the scalar massive conformal particle. The aim of the paper is the construction and investigation of the quantum complex Minkowski space.
27 pages
coherent state method, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, Mathematical Physics (math-ph), conformal relativity, Finite-dimensional groups and algebras motivated by physics and their representations, Geometric quantization, noncommutative Kähler geometry, Coherent states, Geometry and quantization, symplectic methods, 81S10, 70G10, 47L80, 46L65, 46L87, 32Q15, 53Z05, Mathematical Physics
coherent state method, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, Mathematical Physics (math-ph), conformal relativity, Finite-dimensional groups and algebras motivated by physics and their representations, Geometric quantization, noncommutative Kähler geometry, Coherent states, Geometry and quantization, symplectic methods, 81S10, 70G10, 47L80, 46L65, 46L87, 32Q15, 53Z05, Mathematical Physics
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