Lie Algebras and Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2015
|
| Ausgabe: | 2nd ed. 2015 |
| Schriftenreihe: | Lecture Notes in Physics
891 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVIII, 272 p. 37 illus) |
| ISBN: | 9783662444948 9783662444931 |
| ISSN: | 0075-8450 |
| DOI: | 10.1007/978-3-662-44494-8 |
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Datensatz im Suchindex
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|---|---|
| adam_text | LIE ALGEBRAS AND APPLICATIONS
/ IACHELLO, FRANCESCO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
BASIC CONCEPTS
SEMISIMPLE LIE ALGEBRAS
LIE GROUPS
LIE ALGEBRAS AND LIE GROUPS
HOMOGENEOUS AND SYMMETRIC SPACES (COSET SPACES). - IRREDUCIBLE BASES
(REPRESENTATIONS)
CASIMIR OPERATORS AND THEIR EIGENVALUES
TENSOR OPERATORS
BOSON REALIZATIONS
FERMION REALIZATIONS
DIFFERENTIAL REALIZATIONS
MATRIX REALIZATIONS
COSET SPACES
SPECTRUM GENERATING ALGEBRAS AND DYNAMIC SYMMETRIES
DEGENERACY ALGEBRAS AND DYNAMICAL ALEBRAS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LIE ALGEBRAS AND APPLICATIONS
/ IACHELLO, FRANCESCO
: 2015
ABSTRACT / INHALTSTEXT
THIS COURSE-BASED PRIMER PROVIDES AN INTRODUCTION TO LIE ALGEBRAS AND
SOME OF THEIR APPLICATIONS TO THE SPECTROSCOPY OF MOLECULES, ATOMS,
NUCLEI AND HADRONS. IN THE FIRST PART, IT CONCISELY PRESENTS THE BASIC
CONCEPTS OF LIE ALGEBRAS, THEIR REPRESENTATIONS AND THEIR INVARIANTS.
THE SECOND PART INCLUDES A DESCRIPTION OF HOW LIE ALGEBRAS ARE USED IN
PRACTICE IN THE TREATMENT OF BOSONIC AND FERMIONIC SYSTEMS. PHYSICAL
APPLICATIONS CONSIDERED INCLUDE ROTATIONS AND VIBRATIONS OF MOLECULES
(VIBRON MODEL), COLLECTIVE MODES IN NUCLEI (INTERACTING BOSON MODEL),
THE ATOMIC SHELL MODEL, THE NUCLEAR SHELL MODEL, AND THE QUARK MODEL OF
HADRONS. ONE OF THE KEY CONCEPTS IN THE APPLICATION OF LIE ALGEBRAIC
METHODS IN PHYSICS, THAT OF SPECTRUM GENERATING ALGEBRAS AND THEIR
ASSOCIATED DYNAMIC SYMMETRIES, IS ALSO DISCUSSED. THE BOOK HIGHLIGHTS A
NUMBER OF EXAMPLES THAT HELP TO ILLUSTRATE THE ABSTRACT ALGEBRAIC
DEFINITIONS AND INCLUDES A SUMMARY OF MANY FORMULAS OF PRACTICAL
INTEREST, SUCH AS THE EIGENVALUES OF CASIMIR OPERATORS, AND THE
DIMENSIONS OF THE REPRESENTATIONS OF ALL CLASSICAL LIE ALGEBRAS. FOR
THIS NEW EDITION, THE TEXT HAS BEEN CAREFULLY REVISED AND EXPANDED; IN
PARTICULAR, A NEW CHAPTER HAS BEEN ADDED ON THE DEFORMATION AND
CONTRACTION OF LIE ALGEBRAS. FROM THE REVIEWS OF THE FIRST EDITION:
IACHELLO HAS WRITTEN A PEDAGOGICAL AND STRAIGHTFORWARD PRESENTATION
OF LIE ALGEBRAS [...]. IT IS A GREAT TEXT TO ACCOMPANY A COURSE ON LIE
ALGEBRAS AND THEIR PHYSICAL APPLICATIONS. (MARC DE MONTIGNY,
MATHEMATICAL REVIEWS, ISSUE, 2007 I) THIS BOOK [...] WRITTEN BY ONE OF
THE LEADING EXPERTS IN THE FIELD [...] WILL CERTAINLY BE OF GREAT USE
FOR STUDENTS OR SPECIALISTS THAT WANT TO REFRESH THEIR KNOWLEDGE ON LIE
ALGEBRAS APPLIED TO PHYSICS. [...] AN EXCELLENT REFERENCE FOR THOSE
INTERESTED IN ACQUIRING PRACTICAL EXPERIENCE [...] AND LEAVING THE
EMBARRASSING THEORETICAL PRESENTATIONS ASIDE. (RUTWIG
CAMPOAMOR-STURSBERG, ZENTRALBLATT MATH, VOL. 1156, 2009)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| isbn | 9783662444948 9783662444931 |
| issn | 0075-8450 |
| language | English |
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| series2 | Lecture Notes in Physics |
| spelling | Iachello, Francesco Verfasser aut Lie Algebras and Applications by Francesco Iachello 2nd ed. 2015 Berlin, Heidelberg Springer Berlin Heidelberg 2015 1 Online-Ressource (XVIII, 272 p. 37 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Physics 891 0075-8450 Mathematische Physik Quantentheorie Physics Quantum theory Mathematical physics Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 s Lie-Algebra (DE-588)4130355-6 s DE-604 Lecture Notes in Physics 891 (DE-604)BV013615055 891 https://doi.org/10.1007/978-3-662-44494-8 Resolving-System Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027613852&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027613852&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Iachello, Francesco Lie Algebras and Applications Lecture Notes in Physics Mathematische Physik Quantentheorie Physics Quantum theory Mathematical physics Lie-Algebra (DE-588)4130355-6 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4117202-4 |
| title | Lie Algebras and Applications |
| title_auth | Lie Algebras and Applications |
| title_exact_search | Lie Algebras and Applications |
| title_full | Lie Algebras and Applications by Francesco Iachello |
| title_fullStr | Lie Algebras and Applications by Francesco Iachello |
| title_full_unstemmed | Lie Algebras and Applications by Francesco Iachello |
| title_short | Lie Algebras and Applications |
| title_sort | lie algebras and applications |
| topic | Mathematische Physik Quantentheorie Physics Quantum theory Mathematical physics Lie-Algebra (DE-588)4130355-6 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| topic_facet | Mathematische Physik Quantentheorie Physics Quantum theory Mathematical physics Lie-Algebra Theoretische Physik |
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