Coherent states for time dependent harmonic oscillator: the step function
Quantum Physics
2013-03-13 v1
Abstract
We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Ermakov equation for a step function. This approach allows for a continuous treatment that differs from former studies that involve the matching of two time independent solutions at the time when the step occurs.
Cite
@article{arxiv.quant-ph/0301111,
title = {Coherent states for time dependent harmonic oscillator: the step function},
author = {H. Moya-Cessa and M. Fernandez-Guasti},
journal= {arXiv preprint arXiv:quant-ph/0301111},
year = {2013}
}