Quantum and classical dynamics of langmuir wave packets

Haas, F. and Shukla, P.K. (2009) Quantum and classical dynamics of langmuir wave packets. Physical Review E, 79 (6). ISSN 2470-0053 (http://dx.doi.org/10.1103/PhysRevE.79.066402)

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Abstract

The quantum Zakharov system in three spatial dimensions and an associated Lagrangian description, as well as its basic conservation laws, are derived. In the adiabatic and semiclassical cases, the quantum Zakharov system reduces to a quantum modified vector nonlinear Schroumldinger (NLS) equation for the envelope electric field. The Lagrangian structure for the resulting vector NLS equation is used to investigate the time dependence of the Gaussian-shaped localized solutions, via the Rayleigh-Ritz variational method. The formal classical limit is considered in detail. The quantum corrections are shown to prevent the collapse of localized Langmuir envelope fields, in both two and three spatial dimensions. Moreover, the quantum terms can produce an oscillatory behavior of the width of the approximate Gaussian solutions. The variational method is shown to preserve the essential conservation laws of the quantum modified vector NLS equation. The possibility of laboratory tests in the next generation intense laser-solid plasma compression experiment is discussed.

  • Item type:Article
    ID code:19065
    Dates:
    Date
    Event
    June 2009
    Published
    Subjects:UNSPECIFIED
    Department:Faculty of Science > Physics
    Depositing user: Strathprints Administrator
    Date deposited:09 Jun 2010 09:04
    Last modified:08 Apr 2024 17:52
    URI:https://strathprints.strath.ac.uk/id/eprint/19065
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