Lagrangian for Maxwell's Equations 
Lagrangian for Maxwell's Equations
by Stanford / Leonard Susskind
Video Lecture 9 of 10
Copyright Information: All rights reserved to Prof. Leonard Susskind, Stanford University.
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Views: 5,038
Date Added: January 4, 2015

Lecture Description

Professor Susskind begins the lecture by solving Maxwell's equations for electromagnetic plane waves. He then uses the principles of action, locality and Lorentz invariance to develop the Lagrangian for electrodynamics for the special case without charges or currents. Using the Euler-Lagrange equations with this Lagrangian, he derives Maxwell's equations for this special case. Finally, Professor Susskind adds the Lagrangian term for charges and currents by using the principle of gauge invariance, and again uses the Euler-Lagrange equations to derive Maxwell's equations in relativistic notation.

Topics: Electromagnetic plane waves; Choosing a Lagrangian for electrodynamics and deriving Maxwell's equations; Adding charges and currents to the Lagrangian.

Course Index

Course Description

In 1905, while only twenty-six years old, Albert Einstein published "On the Electrodynamics of Moving Bodies" and effectively extended classical laws of relativity to all laws of physics, even electrodynamics. In this course, we will take a close look at the special theory of relativity and also at classical field theory. Concepts addressed here will include four-dimensional space-time, electromagnetic fields, and Maxwell's equations.


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