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.
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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).
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).
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/0l01006
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© 2003 Springer Science+Business Media New York
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Fedorova, A.N., Zeitlin, M.G. (2003). Quasiclassical Calculations of Wigner Functions in Nonlinear Dynamics via Wavelets. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_111
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DOI: https://doi.org/10.1007/978-1-4419-8907-9_111
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