Relativistic motion of an electron in a uniform electric field

Thread starter Natchanon
Start date Dec 2, 2019
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Electric Electric field Electron Field Motion Relativistic Uniform

AI Thread Summary

In the discussion on the relativistic motion of an electron in a uniform electric field, the relationship between force, charge, and acceleration is examined using F = qE = ma = dp/dt. The proper acceleration is identified as a = F/mγ³, with F being the electric force eE and γ representing the Lorentz factor. A key concern is raised regarding the absence of the constant τ in the equation, leading to uncertainty about the correctness of the approach. The need for clarification on the derivation and application of these equations in a relativistic context is emphasized. Overall, the discussion seeks to resolve the complexities of relativistic dynamics in electric fields.

Dec 2, 2019

Natchanon

Homework Statement: Solve for velocity and position as a function of time

Relevant Equations: attached in the .png file, where electric field E and tau are constants.

dv/dt is the acceleration, so I thought I could find the acceleration from F = qE = ma = dp/dt. But this is a relativistic case, so the proper acceleration is a = F/mγ³, where v in the gamma is the v of the electron and F = eE. However, I'm not sure if this is correct, because the constant τ doesn't appear anywhere on the right side.

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Dec 2, 2019

Abhishek11235

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