Classical Electrodynamics

Texte du rabat

*Classical Electrodynamics:* covers the essential theoretical foundations of electrodynamics from the vector calculus formulation to the classical gauge field theory.

Contenu

Part 1 Basic Formalism of Electrodynamics (in vector calculus form)

1 Conservation Laws

2 Potential Formulation of Electrodynamics

3 Standard Application 1: Point Charge

4 Standard Application 2: Radiation

5 Standard Application 3: Scattering of EM waves

6 Exercises for Part I

Part 2 Electrodynamics in Lorentz Covariant Form (in tensor calculus form)

7 Special Relativity

8 Electrodynamics recast into a manifestly Lorentz covariant form

9 Exercises for Part II

Part 3 Classical Relativistic U(1) Gauge Theory

10 Lagrangian description of a classical relativistic U(1) gauge theory

11 Exercises for Part III

Part 4 Solutions to the Problems

12 Solutions to Exercises in Part I

13 Solutions to Exercises for Part II

14 Solutions to Exercises for Part III

Part 5 Appendices

15 Mathematics: Vector Calculus

16 Summary of Electromagnetism Bibliography