A Course in Mathematical Physics 2

1 Introduction. - 1. 1 Physical Aspects of Field Dynamics. - 1. 2 The Mathematical Formalism. - 1. 3 Maxwell's and Einstein's Equations. - 2 The Electromagnetic Field of a Known Charge Distribution. - 2. 1 The Stationary-Action Principle and Conservation Theorems. - 2. 2 The General Solution. - 2. 3 The Field of a Point Charge. - 2. 4 Radiative Reaction. - 3 The Field in the Presence of Conductors. - 3. 1 The Superconductor. - 3. 2 The Half-Space the Wave-Guide and the Resonant Cavity. - 3. 3 Diffraction at a Wedge. - 3. 4 Diffraction at a Cylinder. - 4 Gravitation. - 4. 1 Covariant Differentiation and the Curvature of Space. - 4. 2 Gauge Theories and Gravitation. - 4. 3 Maximally Symmetric Spaces. - 4. 4 Spaces with Maximally Symmetric Submanifolds. - 4. 5 The Life and Death of Stars. - 4. 6 The Existence of Singularities. Language: English