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Quasiclassical Calculations of Wigner Functions in Nonlinear Dynamics via Wavelets

  • Antonina N. Fedorova
  • Michael G. Zeitlin
Conference paper

Abstract

We present the application of variational-wavelet analysis to numerical/analytical calculations of Wigner functions in (nonlinear) quasiclassical dynamics problems. (Naive) deformation quantization and multiresolution representations are the key points.

OCIS codes

(270.0270 Quantum optics (000.3860) Mathematical methods in physics 

References and links

  1. 1.
    A.N. Fedorova, M.G. Zeitlin, “Symmetry, Hamiltonian Problems and Wavelets in Accelerator Physics”, American Institute of Physics, Conf. Proc., 468, Nonlinear and Collective Phenomena in Beam Physics, 69–93, (1999).ADSGoogle Scholar
  2. 2.
    A.N. Fedorova, M.G. Zeitlin, “Variational-Wavelet Approach to RMS Envelope Equations”, Proc. 2nd Advanced Accelerator Workshop on The Physics of High Brightness Beams pp. 235–254, World Scientific, (2000).Google Scholar
  3. 3.
    A.N. Fedorova M.G. Zeitlin, “Quasiclassical Calculations for Wigner Functions via Multiresolution, Quantum Aspects of Beam Physics”, World Scientific, (2001); Los Alamos preprint, physics/0l01006, http://arXiv.org/abs/physics/0l01006Google Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Antonina N. Fedorova
    • 1
  • Michael G. Zeitlin
    • 1
  1. 1.Institute of Problems of Mechanical Engineering, Mathematical Methods in Mechanics GroupRussian Academy of SciencesSt. PetersburgRussia

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