Comparative study of semiclassical approaches to quantum dynamics
Quantum Physics
2009-08-27 v2
Abstract
Quantum states can be described equivalently by density matrices, Wigner functions or quantum tomograms. We analyze the accuracy and performance of three related semiclassical approaches to quantum dynamics, in particular with respect to their numerical implementation. As test cases, we consider the time evolution of Gaussian wave packets in different one-dimensional geometries, whereby tunneling, resonance and anharmonicity effects are taken into account. The results and methods are benchmarked against an exact quantum mechanical treatment of the system, which is based on a highly efficient Chebyshev expansion technique of the time evolution operator.
Cite
@article{arxiv.0810.4302,
title = {Comparative study of semiclassical approaches to quantum dynamics},
author = {G. Schubert and V. S. Filinov and K. Matyash and R. Schneider and H. Fehske},
journal= {arXiv preprint arXiv:0810.4302},
year = {2009}
}
Comments
32 pages, 8 figures, corrected typos and added references; version as published