Tomograms in the Quantum-Classical transition
Quantum Physics
2009-11-11 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The quantum-classical limits for quantum tomograms are studied and compared with the corresponding classical tomograms, using two different definitions for the limit. One is the Planck limit where in all -dependent physical observables, and the other is the Ehrenfest limit where while keeping constant the mean value of the energy.The Ehrenfest limit of eigenstate tomograms for a particle in a box and a harmonic oscillatoris shown to agree with the corresponding classical tomograms of phase-space distributions, after a time averaging. The Planck limit of superposition state tomograms of the harmonic oscillator demostrating the decreasing contribution of interferences terms as .
Cite
@article{arxiv.quant-ph/0505220,
title = {Tomograms in the Quantum-Classical transition},
author = {V. I. Man'ko and G. Marmo and A. Simoni and A. Stern and F. Ventriglia},
journal= {arXiv preprint arXiv:quant-ph/0505220},
year = {2009}
}
Comments
21 pages