Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system
Chaotic Dynamics
2009-11-07 v1
Abstract
In systems with few degrees of freedom modern quantum calculations are, in general, numerically more efficient than semiclassical methods. However, this situation can be reversed with increasing dimension of the problem. For a three-dimensional system, viz. the hyperbolic four-sphere scattering system, we demonstrate the superiority of semiclassical versus quantum calculations. Semiclassical resonances can easily be obtained even in energy regions which are unattainable with the currently available quantum techniques.
Keywords
Cite
@article{arxiv.nlin/0209032,
title = {Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system},
author = {J. Main and G. Wunner and E. Atilgan and H. S. Taylor and P. A. Dando},
journal= {arXiv preprint arXiv:nlin/0209032},
year = {2009}
}
Comments
10 pages, 1 figure, submitted to Phys. Lett. A