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seen Apr 17 at 13:29

Mar
12
comment How is Gauss' Law (integral form) arrived at from Coulomb's Law, and how is the differential form arrived at from that?
I intuit equation (2), but why cube $\delta(\mathbf{r}-\mathbf{r_i})$?
Mar
12
accepted Proof that flux through a surface is independent of the inner objects' arrangement
Mar
12
comment Proof that flux through a surface is independent of the inner objects' arrangement
@joshphysics Thank you; yes I do. It's finally clicked where that derivation fits in to the derivation of Gauss' Law. Thank you all for the patience!
Mar
11
revised Proof that flux through a surface is independent of the inner objects' arrangement
edited body
Mar
11
comment Proof that flux through a surface is independent of the inner objects' arrangement
I'm happy that the divergence theorem holds for general surfaces, but not $\nabla \cdot \mathbf{g}= - \rho G 4 \pi$ that needs to be put into the divergence theorem to get Gauss' Law.
Mar
11
revised Proof that flux through a surface is independent of the inner objects' arrangement
added 350 characters in body
Mar
11
revised Proof that flux through a surface is independent of the inner objects' arrangement
added 149 characters in body
Mar
11
comment Proof that flux through a surface is independent of the inner objects' arrangement
@joshphysics I hope it's clearer now, and yes, that was what I was looking for.
Mar
11
comment Proof that flux through a surface is independent of the inner objects' arrangement
Sorry about that, Poisson's equation was more of a sidenote rather than the main part of the question: I was referring to its use in the proof of Gauss' law.
Mar
11
revised Proof that flux through a surface is independent of the inner objects' arrangement
Made clearer
Mar
10
asked Proof that flux through a surface is independent of the inner objects' arrangement
Mar
10
comment Can an orbit be calculated using two points and transit time?
Counterexample: you can come up with an ellipse or a parabola that passes through two points in the same times.
Mar
9
accepted Relation between satellites' potential energy and quantum mechanical confinement energy?
Mar
9
comment Relation between satellites' potential energy and quantum mechanical confinement energy?
I got the equation from Cheng and Warner's (excellent but) fairly non-rigorous introduction to QM, so your answer's much appreciated. Thank you!
Mar
9
comment Relation between satellites' potential energy and quantum mechanical confinement energy?
I did guess that it was probably integer multiples of $\hbar$ (although, yes, it's not true unless $l^2+l$ is a perfect square).
Mar
9
asked Relation between satellites' potential energy and quantum mechanical confinement energy?
Mar
4
comment Does a ball thrown in the air really stop at its apex, and if it does, wouldn't that violate the uncertainty principle?
Experts only ever state this as an approximation.
Feb
2
comment Why does 'proper length' exist as a notion?
Thanks for the edit. It reminded me that there's no smooth transition between proper length and time. The discontinuity itself is enough to abandon dreams of unification.
Feb
2
accepted Why does 'proper length' exist as a notion?
Feb
2
revised Why does 'proper length' exist as a notion?
deleted 1 characters in body