The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics
Accelerator Physics
2007-05-23 v1 Quantum Physics
Abstract
Both the classical and quantum approximate invariants are found for the nonlinar r time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in terms of the elements of a Lie algebra associated with powers of phase space coordinates. The first order quantum correction to the classical quasi-invariant is found.
Keywords
Cite
@article{arxiv.physics/9908013,
title = {The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics},
author = {T. Garavaglia},
journal= {arXiv preprint arXiv:physics/9908013},
year = {2007}
}
Comments
22 pages, Two postscript figures