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3. Cartesian (flat), spherical and Lobachewskian geometries. Wave equation
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Classroom Contents
Selected Topics of Theoretical Physics - Introduction to Electrodynamics and Theory of Relativity
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- 1 1. Affine and Euclidean Geometry: The modern approach
- 2 2. Aristotle versus Galilei-Newton. Different visions of space an time.
- 3 3. Cartesian (flat), spherical and Lobachewskian geometries. Wave equation
- 4 4. Propagation of sound: 3D wave equation.Lorentz's transformations: symmetries of the wave equation
- 5 5. Lorentz transformation continued. Initial value problem. Huyghens principle
- 6 6. Wave equation in 4D spacetime
- 7 7. Initial value problem. Strong Huygens principle. Maxwell equations.
- 8 8.Dynamics of the Maxwell field.Pedestrian theory of spherical functions.Michelson-Morley experiment
- 9 9. Hyperbolic versus elliptic equations. Electromagnetic field as a 4D-differential two-form
- 10 10. Electromagnetic field as a differential 2-form and its Lorentz transformation.
- 11 11. Lorentz transformation of the electromagnetic field—continued.
- 12 12. Tensors versus tensor densities. Stokes theorem
- 13 13. Maxwell equations in any curvilinear coordinate system
- 14 14. Motion of a charged particle. Lorentz force. E=mc^2
- 15 15. Lorentz force continued. Apparent "paradoxes" of the Relativity Theory
