Embedded random matrix ensembles in quantum physics [electronic resource] / V.K.B. Kota.
Kota, V. K. B., author.
2014
QC20.7.M3
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Title Embedded random matrix ensembles in quantum physics [electronic resource] / V.K.B. Kota.
Author Kota, V. K. B., author.
ISBN 9783319045672 electronic book
3319045679 electronic book
9783319045665
DOI https://doi.org/10.1007/978-3-319-04567-2
Published Cham : Springer, 2014.
Language English
Description 1 online resource (xv, 402 pages) : illustrations (some color).
Item Number 10.1007/978-3-319-04567-2 doi
Call Number QC20.7.M3
Dewey Decimal Classification 530.12
Summary Although 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Lecture notes in physics ; v884.
Available in Other Form Embedded random matrix ensembles in quantum physics
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Introduction
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.

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