Recent content by lelouch_v1

At the left side we have the n-side of the junction, whereas at the right we have the p-side. I am a little confused over $N_D$ and $N_A$ at the n-side. Do the Ga atoms interact with the As ones, so we have $N_D = 2*10^{16} \text{cm}^{-3}$, or not, ans thus we have $N_A=2*10^{16} \text{cm}^{-3}$...

Thank you for your answer. I thought of that as well, but that would lead to having 16 states in the uncoupled basis, and in the coupled basis we would have $$|2,M_F\rangle \ \ \ , \ \ \ |1,M_F\rangle \ \ \ , \ \ \ |0,0\rangle$$ which yields a 9X9 matrix. The problem with that is that the...

Suppose that we have two atoms with one proton one electron each, and these electrons interact with each other. The states for the electrons are the singlet(S=0) and the triplet states(S=1). My question is if i have to keep the nuclear spin of the protons parallel when i write the states, for...

I was reading a paper on Radical-Pair mechanism (2 atoms with 1 valence electron each) and the author used the hyperfine hamiltonian $$H_{B}=-B(s_{D_z}+s_{A_z})+As_{D_x}I_x+As_{D_y}I_y+as_{D_z}I_z$$ and found the following eigenvalues: a/4 (doubly degenerate) , a/4±B , (-a-2B±2√(A^2+B^2)) ...

Suppose that W(t) is just a Wiener process (i.e. a Gaussian in general). I want to know what the probability density for x, P(x), is. I started off by just assuming that I want to measure the expectation value of an observable f(x), so ##<f(x)>=\int_{W=0}^{W=t}{P(W)f(g(W))dW} \ \ ,\ \ x=g(W) ##...

I have been reading Griffith's Introduction to Electodynamics and i am currently at the chapter about magnetostatics. There is an example about a long solenoid with n units per length and radius R that shows a way of finding the magnetic vector potential. The magnetic field inside the solenoid...

Assume a sphere of radius R, and from 0 to R the sphere is filled with a dielectric of permittivity ε.

Suppose that we have an insulating cylinder with ##\rho_q##. If i move the cylinder towards ##+\hat{n}##, will it produce a magnetic field? My assumption is that since we have an insulator, then the electrons are bound and there cannot be a current, thus a magnetic field is not produced. Also...

Consider the pseudoscalar and vector meson family, as well as the baryon J = 1/2 family and baryon J = 3/2 family. Within each multiplet, for each particle state write down its complete set of quantum numbers, its mass, and its quark state content. Furthermore, for each multiplet draw the (Y...