Embedded random matrix ensembles in quantum physics

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1. Verfasser: Kota, V. K. B. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cham [u.a.] Springer 2014
Schriftenreihe:Lecture notes in physics 884
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adam_text EMBEDDED RANDOM MATRIX ENSEMBLES IN QUANTUM PHYSICS / KOTA, V.K.B. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. EMBEDDED RANDOM MATRIX ENSEMBLES IN QUANTUM PHYSICS / KOTA, V.K.B. : 2014 ABSTRACT / INHALTSTEXT 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. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series2 Lecture notes in physics
spellingShingle Kota, V. K. B.
Embedded random matrix ensembles in quantum physics
Lecture notes in physics
Stochastische Matrix (DE-588)4057624-3 gnd
Quantenphysik (DE-588)4266670-3 gnd
subject_GND (DE-588)4057624-3
(DE-588)4266670-3
title Embedded random matrix ensembles in quantum physics
title_auth Embedded random matrix ensembles in quantum physics
title_exact_search Embedded random matrix ensembles in quantum physics
title_full Embedded random matrix ensembles in quantum physics V. K. B. Kota
title_fullStr Embedded random matrix ensembles in quantum physics V. K. B. Kota
title_full_unstemmed Embedded random matrix ensembles in quantum physics V. K. B. Kota
title_short Embedded random matrix ensembles in quantum physics
title_sort embedded random matrix ensembles in quantum physics
topic Stochastische Matrix (DE-588)4057624-3 gnd
Quantenphysik (DE-588)4266670-3 gnd
topic_facet Stochastische Matrix
Quantenphysik
url https://doi.org/10.1007/978-3-319-04567-2
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