Lectures on selected topics in mathematical physics : further applications of Lie theory / William A. Schwalm.

By: Schwalm, William [author.]Contributor(s): Morgan & Claypool Publishers [publisher.] | Institute of Physics, IOP - EBA (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 5 | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]Description: 1 online resource (various pagings) : illustrationsContent type: text Media type: electronic Carrier type: online resourceISBN: 9781643273501 ebookOther title: Further applications of Lie theorySubject(s): Lie groups | Lie algebras | Mathematical physics | Mathematical physics | SCIENCE / Physics / Mathematical & ComputationalAdditional physical formats: Print version:: No titleDDC classification: 530.15/255 LOC classification: QC20.7.L54 S384 2019ebOnline resources: e-book Full-text access Also available in print.
Contents:
1. Generating functions -- 1.1. The basic idea -- 1.2. Elementary examples of generating functions
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.
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 Kill
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.
Abstract: 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 a
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IOP Science eBook - EBA QC20.7.L54 S384 2019eb (Browse shelf (Opens below)) Available IOP_20210076

"Version: 20190301"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

1. Generating functions -- 1.1. The basic idea -- 1.2. Elementary examples of generating functions

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.

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 Kill

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.

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 a

First year physics graduate students.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

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 au

Title from PDF title page (viewed on April 1, 2019).