Chained Quantum Arnold Transformations
Quantum Physics
2011-09-07 v1
Abstract
We put forward the concatenation of Quantum Arnold Transformations as a tool to obtain the wave function of a particle subjected to a harmonic potential which is switched on and off successively. This simulates the capture and release process of an ion in a trap and provides a mathematical picture of this physical process.
Keywords
Cite
@article{arxiv.1109.1124,
title = {Chained Quantum Arnold Transformations},
author = {Francisco F. López-Ruiz and Julio Guerrero and Victor Aldaya},
journal= {arXiv preprint arXiv:1109.1124},
year = {2011}
}
Comments
9 pages, 3 figures. To appear in J. Russ. Laser Res; J. Russ Laser Res. 32 (2011)