5) Two similar point charges $q_1$ and $q_2$ are placed at a distance r apart in air. If a dielectric slab of thickness t and dielectric constant k is placed between the charges, calculate the force of repulsion between them. Also if the thickness of the slab covers half the distance between cha...

Hamilton's principle states that a dynamic system always follows a path such that its action integral is stationary (that is, maximum or minimum). Why should the action integral be stationary? On what basis did Hamilton state this principle?

I'll be generous and say it might be reasonable to assume that nature would tend to minimize, or maybe even maximize, the integral over time of $T-V$. Okay, fine. You write down the action functional, require that it be a minimum (or maximum), and arrive at the Euler-Lagrange equations. Great....

Why do we get the same differential equations from both principles? Surely there is a fundamental connection between them? When written out, the two seem to have nothing in common. $$\sum _i ( \mathbf F _i - \dot{\mathbf p}_i) \cdot \delta \mathbf r _i = 0$$ $$S[q(t)] = \int ^{t_2} _{t_1} \mat...

I was informed by this answer from John Rennie that the particle and wave behavior of light are both approximations to the more fundamental description of light as an excitation in a quantum field. How would one, starting with the quantum field description of light, derive/predict the particle a...

Have a look at this publication https://kops.uni-konstanz.de/bitstream/handle/123456789/5359/322_physicaB_1998.pdf The neutrons will see the exponential decay of an external magnetic field into a superconductor and also scatter on the chemical (nonmagnetic) structure. I believe you are correc...

I'm a chemistry and physics double major soon to graduate, and I'm looking toward a Ph.D. in quantum physics. So obviously I love quantum mechanics. I've just learned that I prefer to study the world from the perspective of a physicist rather than a chemist. Without going into too much unnecessa...