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Classical Electron Radius According to special relativity, mass mmm is equivalent to energy E=mc^2. How large must the radius of a spherically assumed electron be, assuming that its rest mass m originates solely from its electrostatic self-energy, E = \frac{1}{2} \int dV \int dV' \frac{\rho(r) \rho(r')}{|\vec{r} - \vec{r}'|} assuming that ρ(r)... a) is homogeneous over the sphere, b) is isotropically distributed over the surface of the sphere, c) behaves like a point charge, i.e., ρ(r)∝δ(r−r_0), and what does this say about the limited well-definedness of the concept of self-energy in electrostatics? Discuss the issue mentioned in the lecture in connection with these points. The electron mass is m=9.110×10^{−31} kg and e=−1.602×10^{−19} C.

Name: classical electron radius according to special relativity mass mmm is equivalent to energy emc2 how large must the radius of a spherically assumed electron be assuming that its rest mass m o 45101
Uploaded: 2023-07-02T22:54:27-08:00
Duration: 2 min 40 s
Channel: Adi S
Description: classical electron radius according to special relativity mass mmm is equivalent to energy emc2 how large must the radius of a spherically assumed electron be assuming that its rest mass m o 45101

          Classical Electron Radius
According to special relativity, mass mmm is equivalent to energy E=mc^2. How large must the radius of a spherically assumed electron be, assuming that its rest mass m originates solely from its electrostatic self-energy,
E = \frac{1}{2} \int dV \int dV' \frac{\rho(r) \rho(r')}{|\vec{r} - \vec{r}'|}
assuming that ρ(r)...
a) is homogeneous over the sphere,
b) is isotropically distributed over the surface of the sphere,
c) behaves like a point charge, i.e., ρ(r)∝δ(r−r_0), and what does this say about the limited well-definedness of the concept of self-energy in electrostatics? Discuss the issue mentioned in the lecture in connection with these points.
The electron mass is m=9.110×10^{−31} kg and e=−1.602×10^{−19} C.

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