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Comparative Study Of Semiclassical Approaches To Quantum Dynamics

Author

Listed:
  • 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)

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.

Suggested Citation

  • G. Schubert & V. S. Filinov & K. Matyash & R. Schneider & H. Fehske, 2009. "Comparative Study Of Semiclassical Approaches To Quantum Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1155-1186.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:08:n:s0129183109014278
    DOI: 10.1142/S0129183109014278
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