The driven oscillator
Quantum Physics
2015-08-11 v1
Abstract
Using the Wigner-Weyl mapping of quantum mechanics to phase space we consider exactly the quantum mechanics of an harmonic oscillator driven by an external white noise force or whose frequency is time dependent, either adiabatically or parametrically. We find several transition probabilities exactly. We also consider the (quantum mechanical) randomizing effects of the external white noise force on the Weyl quantized phase angle and upon other Weyl quantized quantities.
Cite
@article{arxiv.1508.02379,
title = {The driven oscillator},
author = {T. B. Smith},
journal= {arXiv preprint arXiv:1508.02379},
year = {2015}
}
Comments
18 pages, including one figure