Time-dependent Schr\"odinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations
Quantum Physics
2009-10-31 v2
Abstract
In this paper, we focus on a general class of Schr\"odinger equations that are time-dependent and quadratic in X and P. We transform Schr\"odinger equations in this class, via a class of time-dependent mass equations, to a class of solvable time-dependent oscillator equations. This transformation consists of a unitary transformation and a change in the ``time'' variable. We derive mathematical constraints forthe transformation and introduce two examples.
Keywords
Cite
@article{arxiv.quant-ph/9811075,
title = {Time-dependent Schr\"odinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations},
author = {Michael Martin Nieto and D. Rodney Truax},
journal= {arXiv preprint arXiv:quant-ph/9811075},
year = {2009}
}
Comments
LaTeX, 18 pages, new format, edited