Recent content by LarryS

The Lagrangian Density for the EM field can be derived from Maxwell's Equations (via the EM Field Tensor). Also, from Maxwell's Equations, the electric and magnetic energy densities of an EM plane wave are equal. So, if you focus only on the EM plane wave, the Lagrangian Density for that would...

Under the RELATIVISTIC definition of Action, is the Action for a beam of light always zero? Thanks in advance.

Correction: The article I found was for an experiment using graphene rings. My impression of the experiment was that is was more about electron flow in graphene than about the electrical analog of the AB effect. It did not conclusively confirm the electrical AB Effect.

I found one article regarding an experiment that used solid-state technology to confirm the electrical analog of the AB Effect. I will try find it. I found no experiments that even remotely resembled the experiment suggested in the original paper.

Ok. Makes sense. So, were there any experiments for the electrical analog of the AB Effect that were fairly close to the one in the original paper that were successful?

The original paper for what is now called the Aharonov-Bohm Effect was published in 1959. In this paper they proposed two experiments: One for detecting phase shifts for two electron beams, each passing through regions (inside metal tubes) with constant but differing Electric Potentials. The...

Thanks everyone for the very thorough answers!

My mistake. I should have specified that. That is what I was thinking.

I was not asking about the TOTAL force on the particles. I am only asking about the electrical component of the Lorentz Force. Does Coulomb's Law remain a simple inverse square law in light of the relativistic length contraction?

In classical electromagnetism, Coulomb’s Law gives the force between two stationary charged particles, a certain distance apart. It is an inverse square law – the density of the electric field lines is spherically symmetric. What if the same two charged particles are moving in parallel, say to...

All that makes perfect sense. But let's suppose, extremely hypothetically, that you then noticed, much to your surprise, that k had the same value as Newton's Gravitational Constant (analogous to the electric constant and magnetic constant's relation to c). You might then decide that k...

I understand the modern approach in QFT in general and QED in particular is to set c = 1, thus forcing ε0 and μ0 each to be 1 also. It's a very convenient approach. But setting constants to 1 does not make them go away. Their still there. You've just done a change of scale. The constants no...

Then why does the reciprocal of the square root of their product just happen to be the speed of light, one of the most important constants in our universe?

According to Maxwell’s Equations, the speed an EM plane wave in free space, far from its source, is determined by the electric constant, ε0, and the magnetic constant, μ0, such that c = 1/√( ε0 μ0). The units of ε0 are capacitance per unit length and the units of μ0 are inductance per unit...

The paper I was reading avoids the issue by assuming the line is infinitely long. It focuses on capacitance and inductance per unit length.