- #1
Pentaquark5
- 17
- 2
Homework Statement
Consider an electron with spin ##\vec{S}## and magnetic moment ##\vec{\mu}=-\frac{e}{m}\vec{S}##. It is moving with the velocity ##\vec{v}(t)## relative to the inertial frame of reference ##I## through the electric field ##\vec{E}##. Calculate the angular momentum the electron experiences in its instantaneous rest frame ##I'##!
Compute the angular momentum with respect to ##I## under the condition ##v\ll 1##!
Homework Equations
Lorentz Force: ##F^i=q F^{ik}u_k=q\gamma(\vec{E}\cdot\vec{v}, \vec{E}+\vec{v}\times\vec{B})##
Where ##F_{ik}:=\partial_i A_k-\partial_k A_i## is the Faraday-Tensor
and ##F^{ik}=\eta^{im}\eta^{kn}F_{mn}##
The angular momentum tensor is given by ##l^{ik}=x^i p^k-x^kp^i##
The Attempt at a Solution
I really don't know how to solve this problem, sorry!