Applications of the Theory of Groups in Mechanics and Physics [E-Book] / by Petre P. Teodorescu, Nicolae-Alexandru P. Nicorovici.
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of gre...
Saved in:
Full text |
|
Personal Name(s): | Teodorescu, Petre P., author |
Nicorovici, Nicolae-Alexandru P., author | |
Imprint: |
Dordrecht :
Springer,
2004
|
Physical Description: |
XIV, 446 p. 17 illus. online resource. |
Note: |
englisch |
ISBN: |
9781402020476 |
DOI: |
10.1007/978-1-4020-2047-6 |
Series Title: |
/* Depending on the record driver, $field may either be an array with
"name" and "number" keys or a flat string containing only the series
name. We should account for both cases to maximize compatibility. */?>
Fundamental Theories of Physics ;
140 |
Subject (LOC): |
- 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.