Embedded Random Matrix Ensembles in Quantum Physics / by V.K.B. Kota.

Format:

Book

Author/Creator:

Kota, V.K.B., Author.

Series:

Lecture Notes in Physics, 0075-8450 ; 884

Language:

English

Subjects (All):

Quantum theory.

Mathematical physics.

Nuclear physics.

Heavy ions.

Physics.

Quantum Physics.

Mathematical Applications in the Physical Sciences.

Nuclear Physics, Heavy Ions, Hadrons.

Mathematical Methods in Physics.

Local Subjects:

Quantum Physics.

Mathematical Applications in the Physical Sciences.

Nuclear Physics, Heavy Ions, Hadrons.

Mathematical Methods in Physics.

Physical Description:

1 online resource (XV, 402 p. 92 illus., 27 illus. in color.)

Edition:

1st ed. 2014.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

Language Note:

English

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. .

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)-π192

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

ISBN:

3-319-04567-9