COMPARATIVE STUDY OF SEMICLASSICAL APPROACHES TO QUANTUM DYNAMICS

G. Schubert (), V. S. Filinov, K. Matyash, R. Schneider and H. Fehske
Additional contact information
G. Schubert: Institut für Physik, Ernst-Moritz-Arndt Universität Greifswald, 17487 Greifswald, Germany
V. S. Filinov: Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow 127412, Russia
K. Matyash: Max-Planck-Institut für Plasmaphysik, 17491 Greifswald, Germany
R. Schneider: Max-Planck-Institut für Plasmaphysik, 17491 Greifswald, Germany
H. Fehske: Institut für Physik, Ernst-Moritz-Arndt Universität Greifswald, 17487 Greifswald, Germany

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 08, 1155-1186

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.

Keywords: Time evolution of quantum systems; Wigner function; quantum tomography; semiclassical approximation; Chebyshev expansion; 03.65.Sq; 03.65.Wj (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183109014278
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:20:y:2009:i:08:n:s0129183109014278

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183109014278

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().