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| related topics |
| {group, space, representation} |
| {equation, function, exp} |
| {classical, space, random} |
| {energy, gaussian, time} |
| {wave, scattering, interference} |
| {operator, operators, space} |
| {state, states, coherent} |
| {state, states, entangled} |
| {time, decoherence, evolution} |
| {entanglement, phys, rev} |
| {information, entropy, channel} |
| {let, theorem, proof} |
| {cos, sin, state} |
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|
Classical and Quantum Ensembles via Multiresolution. II. Wigner
Ensembles
Antonina N. Fedorova, Michael G. Zeitlin
abstract: We present the application of the variational-wavelet analysis to the
analysis of quantum ensembles in Wigner framework. (Naive) deformation
quantization, the multiresolution representations and the variational approach
are the key points. We construct the solutions of Wigner-like equations via the
multiscale expansions in the generalized coherent states or high-localized
nonlinear eigenmodes in the base of the compactly supported wavelets and the
wavelet packets. We demonstrate the appearance of (stable) localized patterns
(waveletons) and consider entanglement and decoherence as possible
applications.
- oai_identifier:
- oai:arXiv.org:quant-ph/0406010
- categories:
- quant-ph cond-mat.stat-mech math-ph math.MP nlin.PS physics.plasm-ph
- comments:
- 5 pages, 2 figures, espcrc2.sty, Presented at IX International
Workshop on Advanced Computing and Analysis Techniques in Physics Research,
Section III "Simulations and Computations in Theoretical Physics and
Phenomenology", ACAT 2003, December, 2003, KEK, Tsukuba
- doi:
- 10.1016/j.nima.2004.07.080
- arxiv_id:
- quant-ph/0406010
- created:
- 2004-06-01
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