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

Format:

Book

Author/Creator:

Kota, V. K. B., author.

Series:

Lecture notes in physics ; 0075-8450 v884

Lecture Notes in Physics 0075-8450 volume 884

Language:

English

Subjects (All):

Mathematical physics.

Random matrices.

Quantum theory.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2014

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)-[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

Notes:

Includes bibliographical references

Print version record

Other Format:

Print version Kota, V.K.B. Embedded random matrix ensembles in quantum physics

ISBN:

9783319045672

3319045679

3319045660

9783319045665

OCLC:

880139369

Access Restriction:

Restricted for use by site license