Classical and quantum free motions in the tomographic probability representation
Quantum Physics
2011-12-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Based on a geometric picture, the example of free particle motion for both classical and quantum domains is considered in the tomographic probability representation. Wave functions and density operators as well as optical and symplectic tomograms are obtained as solutions of kinetic classical and quantum equations for the state tomograms. The difference of tomograms of free particle for classical and quantum states is discussed.
Cite
@article{arxiv.1111.7151,
title = {Classical and quantum free motions in the tomographic probability representation},
author = {Vladimir I. Man'ko and Franco Ventriglia},
journal= {arXiv preprint arXiv:1111.7151},
year = {2011}
}
Comments
Contibution to the conference "Folding and Unfolding: Interactions from Geometry". Workshop in honour of Giuseppe Marmo 65--th birtday. Ischia, Naples 8--12 June 2011. To appear in International Journal of Geometric Methods in Modern Physics