The Special Theory of Relativity
Springer-Verlag New York Inc.
978-0-387-94042-7 (ISBN)
1. Four-Dimensional Vector Spaces and Linear Mappings.- 1.1. Minkowski Vector Space V4.- 1.2. Lorentz Mappings of V4.- 1.3. The Minkowski Tensors.- 2. Flat Minkowski Space-Time Manifold M4 and Tensor Fields.- 2.1. A Four-Dimensional Differentiable Manifold.- 2.2. Minkowski Space-Time M4 and the Separation Function.- 2.3. Flat Submanifolds of Minkowski Space-Time M4.- 2.4. Minkowski Tensor Fields on M4.- 3. The Lorentz Transformation.- 3.1. Applications of the Lorentz Transformation.- 3.2. The Lorentz Group ?4.- 3.3. Real Representations of the Lorentz Group ?4.- 3.4. The Lie Group ?+4+.- 4. Pauli Matrices, Spinors, Dirac Matrices, and Dirac Bispinors.- 4.1. Pauli Matrices, Rotations, and Lorentz Transformations.- 4.2. Spinors and Spinor-Tensors.- 4.3. Dirac Matrices and Dirac Bispinors.- 5. The Special Relativistic Mechanics.- 5.1. The Prerelativistic Particle Mechanics.- 5.2. Prerelativistic Particle Mechanics in Space and Time E3 × ?.- 5.3. The Relativistic Equation of Motion of a Particle.- 5.4. The Relativistic Lagrangian and Hamiltonian Mechanics of a Particle.- 6. The Special Relativistic Classical Field Theory.- 6.1. Variational Formalism for Relativistic Classical Fields.- 6.2. The Klein-Gordon Scalar Field.- 6.3. The Electromagnetic Tensor Field.- 6.4. Nonabelian Gauge Fields.- 6.5. The Dirac Bispinor Field.- 6.6. Interaction of the Dirac Field with Gauge Fields.- 7. The Extended (or Covariant) Phase Space and Classical Fields.- 7.1. Classical Fields.- 7.2. The Generalized Klein-Gordon Equation.- 7.3. Spin-½ Fields in the Extended Phase Space.- Answers and Hints to Selected Exercises.- Index of Symbols.
Reihe/Serie | Universitext |
---|---|
Zusatzinfo | XII, 232 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Naturwissenschaften ► Biologie ► Zellbiologie |
Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 0-387-94042-1 / 0387940421 |
ISBN-13 | 978-0-387-94042-7 / 9780387940427 |
Zustand | Neuware |
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