Physics 511A, 2014: Chapter 2, Volume 2. Relativistic mechanics

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Back to Physics 511A, 2014: Graduate Electrodynamics.

Sections 8, 9, 11, 14 only.

Homework Questions

1. Derive the $v/c\to 0$ limit of the Hamilton-Jacobi equation.
2. Problem 1 after Section 11.
3. Problem 6 after Section 11.
4. Problem after Section 14.
5. A massive particle of energy $E_{1}$ traveling with a velocity $v$, not necessarily small relative to the speed of light, emits a photon of the energy $E_{2}$ in a certain direction $\theta$ in its rest frame. What is the angle, by which its velocity is deflected in a nonmoving reference frame?