Star-product quantization and symplectic tomography

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A review of the symplectic tomographic approaches within the framework of star-product quantization is presented. The classical statistical mechanics within the framework of the tomographic representation is considered. The kernels of star-product of functions - symbols of operators in classical and quantum mechanics are presented.
Talk presented at the XV Central European Workshop on Quantum Optics (Belgrade, May-June, 2008), to appear in Physica Scripta T

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