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020 _a9783540468783
_9978-3-540-46878-3
024 7 _a10.1007/BFb0012741
_2doi
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072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
245 1 0 _aLie Methods in Optics II
_h[electronic resource] :
_bProceedings of the Second Workshop Held at Cocoyoc, Mexico July 19–22, 1988 /
_cedited by Kurt Bernardo Wolf.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
300 _aXII, 200 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v352
505 0 _aLie methods in optics: An assessment -- Holographic image processing, coherent optical computing, and neural computer architecture for pattern recognition -- Canonical integration and analysis of periodic maps using non-standard analysis and Lie methods -- Concatenation of Lie algebraic maps -- Dispersion-diffraction coupling in anisotropic media and ambiguity function generation -- Elements of euclidean optics -- The map between Heisenberg-Weyl and Euclidean optics is comatic.
520 _aRecent developments in Lie methods applied to various problems in optics and computer design are surveyed in this volume, based on lectures given and work done at the 1988 workshop held in Cocoyoc, Mexico. Topics discussed include perturbation expansions, the mathematical foundations of coherent optical computing, holographic image and interferometry, neural architecture for pattern recognition, recent progress in symbolic calculations with Lie structures together with applications, the operations of convolution and correlation of signals performed by optical means, wide-angle optics based on the Euclidean group of motions and its relation to the Heisenberg-Weyl approach to canonical quantization. Applications discussed include computer design, particle optics in the Superconducting Supercollider, and neural networks. Computational techniques are emphasized. This volume is an excellent introduction to a rather active field of research and can be recommended to graduate students as well as to researchers.
650 0 _aMathematical physics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
700 1 _aWolf, Kurt Bernardo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662137680
776 0 8 _iPrinted edition:
_z9783662137673
776 0 8 _iPrinted edition:
_z9783540521235
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v352
856 4 0 _uhttps://doi.org/10.1007/BFb0012741
912 _aZDB-2-PHA
912 _aZDB-2-LNP
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