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Lectures on selected topics in mathematical physics : further applications of Lie theory /
This book is a sequel to Lectures on Selected Topics in Mathematical Physics: Introduction to Lie theory with applications. This volume is devoted mostly to Lie groups. Lie algebras and generating functions, both for standard special functions and for solution of certain types of physical problems....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan & Claypool Publishers,
[2019]
|
| Colección: | IOP (Series). Release 5.
IOP concise physics. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/2053-2571/aae789 |2 doi | |
| 035 | |a (CaBNVSL)thg00978693 | ||
| 035 | |a (OCoLC)1091997123 | ||
| 040 | |a CaBNVSL |b eng |e rda |c CaBNVSL |d CaBNVSL | ||
| 050 | 4 | |a QC20.7.L54 |b S384 2019eb | |
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| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.15/255 |2 23 |
| 100 | 1 | |a Schwalm, William, |e author. | |
| 245 | 1 | 0 | |a Lectures on selected topics in mathematical physics : |b further applications of Lie theory / |c William A. Schwalm. |
| 246 | 3 | 0 | |a Further applications of Lie theory. |
| 264 | 1 | |a San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : |b Morgan & Claypool Publishers, |c [2019] | |
| 264 | 2 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2019] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a [IOP release 5] | |
| 490 | 1 | |a IOP concise physics, |x 2053-2571 | |
| 500 | |a "Version: 20190301"--Title page verso. | ||
| 500 | |a "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1. Generating functions -- 1.1. The basic idea -- 1.2. Elementary examples of generating functions | |
| 505 | 8 | |a 2. Groups -- 2.1. Introduction -- 2.2. Groups in general and finite groups in particular -- 2.3. Continuous groups -- 2.4. Group action and infinitesimal generators -- 2.5. Three examples of generating functions from one-parameter groups -- 2.6. Quantum oscillator example -- 2.7. Bessel functions by factoring -- 2.8. Bessel function generator -- 2.9. Multi-parameter Lie groups | |
| 505 | 8 | |a 3. Lie algebras -- 3.1. Algebras -- 3.2. Associative algebras are essentially matrix algebras -- 3.3. Lie algebras are commutator subalgebras -- 3.4. Ideals and classification of complex Lie algebras -- 3.5. Levi's decomposition -- 3.6. The Killing form -- 3.7. Cartan subalgebra -- 3.8. Root geometry, Weyl group and brief comment on classification -- 3.9. Representations and Casimir operators | |
| 505 | 8 | |a 4. Examples and applications -- 4.1. The algebra so(5) -- 4.2. Two-dimensional oscillator in a magnetic field -- 4.3. Generating functions for spherical harmonics -- 5. Concluding remarks. | |
| 520 | 3 | |a This book is a sequel to Lectures on Selected Topics in Mathematical Physics: Introduction to Lie theory with applications. This volume is devoted mostly to Lie groups. Lie algebras and generating functions, both for standard special functions and for solution of certain types of physical problems. It is an informal treatment of these topics intended for physics graduate students or others with a physics background wanting a brief and informal introduction to the subjects addressed in a style and vocabulary not completely unfamiliar. | |
| 521 | |a First year physics graduate students. | ||
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a Dr. William A Schwalm has been in the Department of Physics and Astrophysics at the University of North Dakota since 1980. His research is in condensed matter theory and application of mathematical methods to physical problems. He is also the author of Lectures on Selected Topics in Mathematical Physics: Elliptic functions and elliptic integrals, and Lectures on Selected Topics in Mathematical Physics: Introduction to Lie theory with applications. | ||
| 588 | 0 | |a Title from PDF title page (viewed on April 1, 2019). | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 7 | |a Mathematical physics. |2 bicssc | |
| 650 | 7 | |a SCIENCE / Physics / Mathematical & Computational. |2 bisacsh | |
| 710 | 2 | |a Morgan & Claypool Publishers, |e publisher. | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9781643273471 |
| 830 | 0 | |a IOP (Series). |p Release 5. | |
| 830 | 0 | |a IOP concise physics. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/978-1-64327-350-1 |z Texto completo |