Star-product quantization and symplectic tomography

2009/02/26 by Olga V. Man'ko, Man'ko, Olga V.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0902.4559

Talk presented at the XV Central European Workshop on Quantum Optics (Belgrade, May-June, 2008), to appear in Physica Scripta T

arxiv created 2009/02/26 · arxiv updated 2009/12/01

Abstract

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.

Related

• Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations
• Probability representation of quantum mechanics and star product quantization
• Towards a tomographic representation of quantum mechanics on the plane
• Quantum probability measures and tomographic probability densities
• A Few Almost Trivial Notes on the Symplectic Radon Transform and the Tomographic Picture of Quantum Mechanics