Lecture 3. Special Relativity : Deriving Classical Electrodynamics | A Course On General Relativity

#GeneralRelativity #StevenWeinberg #SpecialRelativity
0:00 - Introduction
3:40 - Principle of Least Action
7:55 - Euler-Lagrange equation
11:18 - Action of a Relativistic Free Particle
16:25 - Variation of the Action of Relativistic Free Particle
21:18 - Deriving the Lorentz Force Law
25:17 - Action of a Relativistic particle + Vector Field
26:17 - Variation of Action
29:16 - Parameter Invariance vs 4-velocity Constraint
34:07 - Field Strength Tensor
39:49 - Gauge Symmetry
41:09 - From Field Strength Tensor to Electric & Magnetic Fields
46:57 - Conserved Current
59:59 - Continuity Equation
1:03:33 - Conserved Current & Gauge Symmetry
1:05:29 - Ending

This is part 3 of our discussion on special relativity…

Today we shall derive the theory of classical electrodynamics, purely from the principle of relativity. In particular, how charges response to an electromagnetic field. This is the Lorentz force law…

This is the first part of 2, on our derivation of the fundamental equations of electrodynamics from relativity…

►A Course on General Relativity
https://www.youtube.com/playlist?list=PLy8F8dLvbGgAgEwkhgOeoJ9Bu7ICncsnh
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https://youtu.be/TROo1auiz2o
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https://youtu.be/oC8OCP_qTJM&t=956s

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►Gravitation and Cosmology - Steven Weinberg
https://amzn.to/4olkRg0 (this book is quite expensive on Amazon; but you don’t need it to follow this course)
►General Relativity : An Introduction For Physicists - Hobson, Efstathiou & Lasenby
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►Bryce DeWitt's Lectures on Gravitation - Edited by Steven M. Christensen
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