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000722627 019__ $$a879360028
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000722627 020__ $$a3319045679$$qelectronic book
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000722627 0247_ $$a10.1007/978-3-319-04567-2$$2doi
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000722627 035__ $$aSP(OCoLC)880139369$$z(OCoLC)879360028
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000722627 1001_ $$aKota, V. K. B.,$$eauthor.
000722627 24510 $$aEmbedded random matrix ensembles in quantum physics$$h[electronic resource] /$$cV.K.B. Kota.
000722627 264_1 $$aCham :$$bSpringer,$$c2014.
000722627 300__ $$a1 online resource (xv, 402 pages) :$$billustrations (some color).
000722627 336__ $$atext$$btxt$$2rdacontent
000722627 337__ $$acomputer$$bc$$2rdamedia
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000722627 4901_ $$aLecture Notes in Physics,$$x0075-8450 ;$$vvolume 884
000722627 504__ $$aIncludes bibliographical references.
000722627 5050_ $$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)-[pi]192 -- 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.
000722627 506__ $$aAccess limited to authorized users.
000722627 520__ $$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.
000722627 588__ $$aDescription based on print version record.
000722627 650_0 $$aMathematical physics.
000722627 650_0 $$aRandom matrices.
000722627 650_0 $$aQuantum theory.
000722627 77608 $$iPrint version:$$aKota, V. K. B.$$tEmbedded random matrix ensembles in quantum physics$$z9783319045665$$w(DLC)  2014934167$$w(OCoLC)867614720
000722627 830_0 $$aLecture notes in physics ;$$vv884.
000722627 852__ $$bebk
000722627 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-04567-2$$zOnline Access$$91397441.1
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