Finding the mean orbital radius of the proton's wavefunction.
So I think I know how to do part A. Assuming that the given .527 angstroms is the distance from the center of mass to the electron I can find the distance from the center of mass to the proton. My center of mass then comes out to be inside the proton. I think that it the right answer but I am not sure. I have no clue how to do p ...continues
Semi-Infinite Square Well Potential
I need to see how to do these types of problems. I know that on the left side psi of 0 would be 0 since this is an infinite well on this side. The problem makes it sound as if I should put E2 slightly slightly below the 0 line. The function inside the well would be sinosoidal and on the right side a decaying exponential. They wo ...continues
Repulsive Delta Function Potential
This is another type of potential that I do not know how to deal with. It will probably turn out to be easy but I don't know how to start this problem. If someone could work it out for me I would be very grateful.
Initially, I thought that this would be an easy problem but it turned out to be a bit more complicated than I thought. We're given k*a and can figure out kn pretty easily. Then we could just set it equal to k for a finite square well which is given in the attached information. However, this is where it started to become confusi ...continues
One-Dimensional Time-Independent Schrodinger
Please see attached file.
Calculate the Zero Point Energy
A baseball is confined between two thick walls at a distance. 0.5M a part. calculate the zero point energy of the baseball. My book has no examples for zero point energy and it might be on my test. I need a outline of the solution please.
What is the probability that the electron will tunnel through a barrier?
An electron is accelerated through potential difference of 3eV and is incident on a finite potential barrier of height 5eV and thickness 5x 10^-10m. What is the probability that the electron will tunnel though the barrier. I am not 100 percent sure how to do this so a detailed solution would be helpful.
The operator F is defined in the attached file, where a is a nonzero constant. Determine whether or not F is a Hermitian operator. An outline would be helpful.
Derive an order of magnitude estimate for a harmonic oscillator
The oscillation frequencies of a diatomic molecule are typically 10^12hz-10^14Hz. Derive in order of magnitude estimate for the harmonic oscillator constant K for such molecules. I need to know how to do this for a test tomorrow. So detailed solutions please.
