Embedded random matrix ensembles in quantum physics / V.K.B. Kota.

Author
Kota, V. K. B. [Browse]
Format
Book
Language
English
Published/​Created
Cham : Springer, [2014]
Description
xv, 402 pages : illustrations (some color) ; 24 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QC20.7.M3 K68 2014 Browse related items Request

    Details

    Subject(s)
    Series
    Summary note
    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.
    Bibliographic references
    Includes bibliographical references.
    Contents
    • 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.
    Other format(s)
    Also available in an electronic version.
    ISBN
    • 9783319045665
    • 3319045660
    • 3319045679
    • 9783319045672
    LCCN
    2014934167
    OCLC
    867614720
    Statement on language in description
    Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...
    Other views
    Staff view

    Supplementary Information