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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2021
Unit 7
Unit 1 • Unit 2 • Unit 3 •Unit 4 • Unit 5 • Unit 6 • Unit 7 • Unit 8
Maxwell's Equations and Special Relativity
November 30 to December 3
You should review the notes and videos below by the end of the semester.
Questions on the material of Unit 7 may be posted on the Unit 7 Discussion Board, or on the Unit 7 Slack channel.
There is a Problem Set 11 for this unit that is just for fun!! This set will not be graded, and you should not turn it in. The solutions will be posted after the last day of classes.
In this, our last unit, we discuss how to reformulate electromagnetism and Maxwell's equations in a way that is compatible with the theory of special relativity. We will see how fields transform under a Lorentz transformation, and find the relativistic version of Larmor's formula.
Below is a list of links to the course notes for each topic in this unit, followed by links to recorded video lectures.
Notes and Video Lectures
- Notes 7-1 - Review of special relativity and the Lorentz transformation, 4-vectors and proper time
- Video 7-1.1 - Special Relativity and the Lorentz transformation [35 min]
- Video 7-1.2 - 4-vectors and the proper time [58 min]
- Notes 7-2 - Maxwell's equations in relativistic form
- Video 7-2.1 - Maxwell's equations in potential form [25 min]
- Video 7-2.2 - Field strength tensor and Maxwell's inhomogeneous equations [26 min]
- Video 7-2.3 - Maxwell's homogeneous equations [27 min]
- Video 7-2.4 - Lorentz transformation of electric and magnetic fields [9 min]
- Notes 7-3 - Relativistic kinematics, relativistic momentum and energy, the Lorentz force
- Notes 7-4 - The Relativistic Larmor's formula
- Video 7-4.1 - The relativisitic Larmor's formula [28 min]
- Notes 7-5-supp - Supplemental: The relativistic form for the Maxwell stress tensor, energy and momentum conservation
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