I've seen this problem explained in the movie 21, as well as the show Numbers. I'll use the example given in 21.
You're on a gameshow, and you're shown 3 doors. Behind one of the doors is a new car, and behind the other 2 are goats. You pick door number 1.
The host then opens up door...
I worked for a particle physics experiment last summer. I have now just graduated and am supposed to continue working on that same project this Monday. I've determined that what I'm really interested in is medical physics. I just received an offer from a professor in medical physics to do a...
I've just finished up my undergraduate degree and I have been looking at graduate schools for an MSc. Unfortunately, due to my B average, I'm down to basically one choice, which is the institution that I'm presently attending.
I've gotten experience in two fields in my undergraduate years...
Homework Statement
For the potentials:
V(\vec{r}, t) = ct
\vec{A}(\vec{r}, t) = -\frac{K}{c} x \^x
c being velocity of light in a vacuum, determine the constant K assuming the potentials satisfy the Lorentz gauge.
b) Do these potentials satisfy the Coulomb gauge as well?
c) Show that for a...
Homework Statement
Consider an electron of a linear triatomic molecule formed by three equidistant atoms. We use |\phi_A>, |\phi_B>, |\phi_C> to denote three orthonormal staes of this electron, corresponding respectively to three wave functions localized about the nuclei of atoms A, B and C...
Ok I found the two eigenvectors using Matlab. I'm not sure how to write them when applied to the system so that it makes sense.
|\psi(t)> = 0.92388 | + > + 0.382683 | - >
|\psi(t)> = 0.382683 | + > - 0.92388 | - >
Is this correct? And for part c), which one do I use to find the probability?
Ok so I get the following system of equations for the case of the eigenvalue +\sqrt2
(1-\sqrt2)c_1 + c_2 = 0
c_1 + (-1-\sqrt2)c_2 = 0
which according to myself and my calculator has no solution...
Homework Statement
Consider a spin 1/2 particle placed in a magnetic field \vec{B_0} with components:
B_x = \frac{1}{\sqrt{2}} B_0
B_y = 0
B_z = \frac{1}{\sqrt{2}} B_0
a) Calculate the matrix representing, in the {| + >, | - >} basis, the operator H, the Hamiltonian of the...
The question asked to calculate the [H, XP] commutator, I just didn't write it because I already found it and wanted to save time.
I'm not sure I understand the hint.