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Bibliographic Details
Main Author:	Iachello, Francesco (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin, Heidelberg Springer Berlin Heidelberg 2015
Edition:	2nd ed. 2015
Series:	Lecture Notes in Physics 891
Subjects:	Mathematische Physik Quantentheorie Physics Quantum theory Mathematical physics Lie-Algebra Theoretische Physik
Links:	https://doi.org/10.1007/978-3-662-44494-8 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 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
Physical Description:	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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MARC


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Record in the Search Index

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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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institution	BVB
isbn	9783662444948 9783662444931
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language	English
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physical	1 Online-Ressource (XVIII, 272 p. 37 illus)
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publishDate	2015
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publisher	Springer Berlin Heidelberg
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series	Lecture Notes in Physics
series2	Lecture Notes in Physics
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
url	https://doi.org/10.1007/978-3-662-44494-8 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 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
volume_link	(DE-604)BV013615055
work_keys_str_mv	AT iachellofrancesco liealgebrasandapplications

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