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020 _a9783319045672
_9978-3-319-04567-2
024 7 _a10.1007/978-3-319-04567-2
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aKota, V.K.B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aEmbedded Random Matrix Ensembles in Quantum Physics
_h[electronic resource] /
_cby V.K.B. Kota.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXV, 402 p. 92 illus., 27 illus. in color.
_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 ;
_v884
505 0 _aIntroduction --  Classical Random Matrix Ensembles -- Interpolating and other Extended Classical Ensembles -- Embedded GOE for Spinless Fermion Systems: EGOE (2) and EGOE (k) -- Random Two-Body Interactions in Presence of Mean-Field: EGOE (1+2) -- One Plus Two-Body Random Matrix Ensembles for Fermions With Spin-Degree of Freedom: EGOE (1+2)-s -- Applications of EGOE(1+2) and EGOE(1+2)-s -- One Plus Two-body Random Matrix Ensembles with Parity: EGOE(1+2)-π192 -- Embedded GOE Ensembles for Interacting Boson Systems: BEGOE (1+2) for Spinless Bosons -- Embedded GOE Ensembles for Interacting Boson Systems: BEGOE (1+2)-F and BEGOE (1+2)-S1 for Bosons With Spin -- Embedded Gaussian Unitary Ensembles: Results From Wegner-Racah Algebra -- Symmetries, Self Correlation and Cross Correlation in Enbedded Ensembles -- Further Extended Embedded Ensembles -- Regular Structures With Random Interactions: A New Paradigm -- Time Dynamics and Entropy Production to Thermalization in EGOE -- Brief Summary and Outlook -- References.
520 _aAlthough used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles.  The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.   .
650 0 _aQuantum theory.
650 0 _aNuclear physics.
650 0 _aMathematical physics.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aMathematical Applications in the Physical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M13120
650 2 4 _aNuclear Physics, Heavy Ions, Hadrons.
_0http://scigraph.springernature.com/things/product-market-codes/P23010
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319045689
776 0 8 _iPrinted edition:
_z9783319045665
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v884
856 4 0 _uhttps://doi.org/10.1007/978-3-319-04567-2
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c9315
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