Lecture Notes in Physics

Embedded Random Matrix Ensembles in Quantum Physics

Authors: Kota, Venkata Krishna Brahmam

  • Authored by a leading researcher in the field
  • Introductory and Self-contained presentation
  • Useful as reference text on the subject matter
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About this book

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.

Table of contents (16 chapters)

  • Introduction

    Kota, V. K. B.

    Pages 1-9

  • Classical Random Matrix Ensembles

    Kota, V. K. B.

    Pages 11-37

  • Interpolating and Other Extended Classical Ensembles

    Kota, V. K. B.

    Pages 39-68

  • Embedded GOE for Spinless Fermion Systems: EGOE(2) and EGOE(k)

    Kota, V. K. B.

    Pages 69-99

  • Random Two-Body Interactions in Presence of Mean-Field: EGOE(1+2)

    Kota, V. K. B.

    Pages 101-126

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-04567-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-04566-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Embedded Random Matrix Ensembles in Quantum Physics
Authors
Series Title
Lecture Notes in Physics
Series Volume
884
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04567-2
DOI
10.1007/978-3-319-04567-2
Softcover ISBN
978-3-319-04566-5
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XV, 402
Number of Illustrations and Tables
65 b/w illustrations, 27 illustrations in colour
Topics