Embedded Random Matrix Ensembles in Quantum Physics

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...

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Bibliographic Details
Main Author: Kota, V.K.B.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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