The Driven-Oscillator Evolution in the Tomografic-Probability Representation
Quantum Physics
2012-04-04 v1
Abstract
We consider the problem of the driven harmonic oscillator in the probability representation of quantum mechanics, where the oscillator states are described by fair nonnegative probability distributions of position measured in rotated and squeezed reference frames in the system's phase space. For some specific oscillator states like coherent states and nth excited states, the tomographic-probability distributions (called the state tomograms) are found in an explicit form. The evolution equation for the tomograms is discussed for the classical and quantum driven oscillators, and the tomographic propagator for this equation is studied.
Cite
@article{arxiv.1204.0670,
title = {The Driven-Oscillator Evolution in the Tomografic-Probability Representation},
author = {Dmitry B. Lemeshevskiy and Vladimir I. Man'ko},
journal= {arXiv preprint arXiv:1204.0670},
year = {2012}
}
Comments
11 pages. Submitted to Journal of Russian Laser Research