Physical description 
1 online resource (xv, 402 pages) : illustrations (some color). 
Series 
Lecture Notes in Physics, 00758450 ; volume 884


Lecture notes in physics ; v884. 00758450


Springer Lecture Notes in Physics

Bibliography 
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 TwoBody Interactions in Presence of MeanField: EGOE (1+2)  One Plus TwoBody Random Matrix Ensembles for Fermions With SpinDegree of Freedom: EGOE (1+2)s  Applications of EGOE(1+2) and EGOE(1+2)s  One Plus Twobody 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 WegnerRacah 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. 
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 easytoread introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of presentday 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 twobody 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. 
Other author 
SpringerLink issuing body.

Subject 
Mathematical physics.


Random matrices.


Quantum theory.


Electronic books. 
ISBN 
9783319045672 (electronic bk.) 

3319045679 (electronic bk.) 

9783319045665 

3319045660 (print) 

9783319045665 (print) 
Standard Number 
10.1007/9783319045672 
