The first part (which I believe I've done correctly) asks us to find the electric displacement everywhere. For this:
$$\int D \cdot da = Q_{f,enc}$$
For a < r < b: $$D = \frac{Q}{4\pi r^2} \hat{r}$$
Otherwise, D = 0
When finding the capacitance, I'm unsure how to handle the r dependence. I...
Got it, thanks so much for the clarification!
Normalization should be (where ##λ_{1,i}## is the ##i^{th}## component of ##|\lambda_1⟩ ##):
$$ || λ_1 || = \sqrt{\sum_{i=1}^N λ_{1,i} λ_{1,i}^*} = \sqrt{5}$$ (and likewise for ##|\lambda_2⟩##)
Thanks again!
Homework Statement
[/B]
(Working through a problem from a practice set for which I have a solution available, but still don't understand. I get the same answer as they do for part a, but get lost in part b, I think. Relevant portions below)
Consider a two-state quantum system. In the...
I'm in the 11th hour of studying, and have run into a problem I can't seem to tackle from an old exam. I may be making some foolish mistakes, as I've now been staring at this thing for entirely too long.
1. Homework Statement
(a) Calculate the force due to radiation pressure experienced by an...