Applications of the Theory of Groups in Mechanics and Physics
Springer-Verlag New York Inc.
978-1-4020-2046-9 (ISBN)
1. Elements of General Theory of Groups.- 1 Basic notions.- 2 Topological groups.- 3 Particular Abelian groups.- 2. Lie Groups.- 1 The SO(3) group.- 2 The SU(2) group.- 3 The SU(3) and GL(n, ?) groups.- 4 The Lorentz group.- 3. Symmetry Groups of Differential Equations.- 1 Differential operators.- 2 Invariants and differential equations.- 3 Symmetry groups of certain differential equations.- 4 Methods of study of certain differential equations.- 4. Applications in Mechanics.- 1 Classical models of mechanics.- 2 Symmetry laws and applications.- 3 Space-time symmetries. Conservation laws.- 4 Applications in the theory of vibrations.- 5. Applications in the Theory of Relativity and Theory of Classical Fields.- 1 Theory of Special Relativity.- 2 Theory of electromagnetic field.- 3 Theory of gravitational field.- 6. Applications in Quantum Mechanics and Physics of Elementary Particles.- 1 Non-relativistic quantum mechanics.- 2 Internal symmetries of elementary particles.- 3 Relativistic quantum mechanics.- References.
Erscheint lt. Verlag | 30.4.2004 |
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Reihe/Serie | Fundamental Theories of Physics ; 140 |
Zusatzinfo | 17 Illustrations, black and white; XIV, 446 p. 17 illus. |
Verlagsort | New York, NY |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 1-4020-2046-5 / 1402020465 |
ISBN-13 | 978-1-4020-2046-9 / 9781402020469 |
Zustand | Neuware |
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