LEADER 05013nam 22007335 450 001 996203276303316 005 20200705173013.0 010 $a3-319-04567-9 024 7 $a10.1007/978-3-319-04567-2 035 $a(CKB)3710000000094988 035 $a(DE-He213)978-3-319-04567-2 035 $a(SSID)ssj0001187134 035 $a(PQKBManifestationID)11773433 035 $a(PQKBTitleCode)TC0001187134 035 $a(PQKBWorkID)11256864 035 $a(PQKB)10897768 035 $a(MiAaPQ)EBC3093356 035 $a(PPN)177824360 035 $a(EXLCZ)993710000000094988 100 $a20140304d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEmbedded Random Matrix Ensembles in Quantum Physics$b[electronic resource] /$fby V.K.B. Kota 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XV, 402 p. 92 illus., 27 illus. in color.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v884 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-04566-0 320 $aIncludes bibliographical references. 327 $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)-?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. 330 $aAlthough used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles.  The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.   . 410 0$aLecture Notes in Physics,$x0075-8450 ;$v884 606 $aQuantum physics 606 $aMathematical physics 606 $aNuclear physics 606 $aHeavy ions 606 $aPhysics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aQuantum physics. 615 0$aMathematical physics. 615 0$aNuclear physics. 615 0$aHeavy ions. 615 0$aPhysics. 615 14$aQuantum Physics. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aNuclear Physics, Heavy Ions, Hadrons. 615 24$aMathematical Methods in Physics. 676 $a530.15 686 $aUD 8220$2rvk 700 $aKota$b V.K.B$4aut$4http://id.loc.gov/vocabulary/relators/aut$01015030 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996203276303316 996 $aEmbedded Random Matrix Ensembles in Quantum Physics$92368155 997 $aUNISA