I think the biggest misconception about entanglement is that the two particles are in these different states. The idea is that they are both part of the same state, and this is why measuring one forces us to understand the observables of the other. Basically, since both particles are considered...
I'm studying for my preliminary exam for grad school, and I have a practice problem that gives this Hamiltonian. The first part asks about the symmetries of the hamiltonian. I said energy, angular momentum about the z-axis and linear momentum in the z-direction. The next part asks, "Describe the...
For example, I have a 3D particle that experiences a harmonic oscillator potential only in the X,Y plane for all Z ie. a free particle in the Z direction. This seems like cylindrical coordinates but I'm not sure how to express the Hilbert space if I want to be able to describe states and...
Cosider a sinusoidal wave traveling along a composite string. The string is under constant tension, F, and consists of a light portion (x<0) with mass per unit length mu1 joined in a continuous manner to a heavier portion (x>0) with mass per unit length mu2. Let y_1i(x,t)=A_1i*sin(wt-k_1x) be...
I've been working on this one for quite some time...
Consider a sinusoidal wave traveling along a string composed of two sections, one with a lighter mass/length density than the other. A pulse is traveling in the light region and about to hit the junction. If the incident wave is given by...