The Lie Algebras su(N): An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra". The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples |
| Beschreibung: | 1 Online-Ressource (VI, 116p) |
| ISBN: | 9783034880978 9783764324186 |
| DOI: | 10.1007/978-3-0348-8097-8 |
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| 245 | 1 | 0 | |a The Lie Algebras su(N) |b An Introduction |c by Walter Pfeifer |
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| 500 | |a Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra". The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Geometry | |
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| 650 | 4 | |a Associative Rings and Algebras | |
| 650 | 4 | |a Mathematical Methods in Physics | |
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Datensatz im Suchindex
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| author | Pfeifer, Walter |
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| dewey-full | 512.46 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.46 |
| dewey-search | 512.46 |
| dewey-sort | 3512.46 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8097-8 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:10Z |
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| isbn | 9783034880978 9783764324186 |
| language | English |
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| spelling | Pfeifer, Walter Verfasser aut The Lie Algebras su(N) An Introduction by Walter Pfeifer Basel Birkhäuser Basel 2003 1 Online-Ressource (VI, 116p) txt rdacontent c rdamedia cr rdacarrier Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra". The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples Mathematics Algebra Geometry Mathematical physics Associative Rings and Algebras Mathematical Methods in Physics Mathematik Mathematische Physik Spezielle unitäre Gruppe (DE-588)4323137-8 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Spezielle unitäre Gruppe (DE-588)4323137-8 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8097-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pfeifer, Walter The Lie Algebras su(N) An Introduction Mathematics Algebra Geometry Mathematical physics Associative Rings and Algebras Mathematical Methods in Physics Mathematik Mathematische Physik Spezielle unitäre Gruppe (DE-588)4323137-8 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4323137-8 (DE-588)4130355-6 |
| title | The Lie Algebras su(N) An Introduction |
| title_auth | The Lie Algebras su(N) An Introduction |
| title_exact_search | The Lie Algebras su(N) An Introduction |
| title_full | The Lie Algebras su(N) An Introduction by Walter Pfeifer |
| title_fullStr | The Lie Algebras su(N) An Introduction by Walter Pfeifer |
| title_full_unstemmed | The Lie Algebras su(N) An Introduction by Walter Pfeifer |
| title_short | The Lie Algebras su(N) |
| title_sort | the lie algebras su n an introduction |
| title_sub | An Introduction |
| topic | Mathematics Algebra Geometry Mathematical physics Associative Rings and Algebras Mathematical Methods in Physics Mathematik Mathematische Physik Spezielle unitäre Gruppe (DE-588)4323137-8 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Mathematics Algebra Geometry Mathematical physics Associative Rings and Algebras Mathematical Methods in Physics Mathematik Mathematische Physik Spezielle unitäre Gruppe Lie-Algebra |
| url | https://doi.org/10.1007/978-3-0348-8097-8 |
| work_keys_str_mv | AT pfeiferwalter theliealgebrassunanintroduction |