I can change the spring constant in each direction.
If you would like a copy of the relevant code (the part where I create the matrix) I will be glad to give it to you.
I just finished redoing the code in C++. I did this to get access to a different linear algebra package. I can now convert to...
Does this imply that a trajectory could reverse direction and take a different path before reaching its final destination? If so, is this one way to explain interference patterns?
Interesting that you posted this as I was posting my previous post.
As far as I know, interference ( which is evidence of superposition) has never been observed for a single particle. It always requires a system of at least 2 or more particles to observe interference patterns. I interpret this...
As far as I know, interference has never been observed for a single particle. It always takes a system of at least two or more particles to observe interference patterns. This suggests to me that the single particle does indeed follow some path. If you say that is false, please provide a link.
Helical, as I am using the term is not a definite shape. Maybe I should use the word "corkscrew". I am suggesting that a path DOES exist, but it is not well defined, and I think it is reasonable to predict that if will be "helical" or "corkscrew" in character because the momentums in the...
You misinterpret what I said. I never said the particle has a definite path. I said just the opposite. I said the path is erratic, I suspect it is helical because of the non-zero momentums in the tranverse plane.
Whether it is an argument about QM or not I will leave to the experts, but for me this has been an informative thread.
It is clear now, that as diameter of the barrel of the gun increases, the momentum of the electron in the transverse direction, the y-z plane, becomes more precise at the...
I thought that if the momentum is precise, ie ##A(\hat{p})## in vanhees equation is a ##\delta()## function, then the corresponding position wave function is completely undetermined. The electron could hit anywhere with equal probability. ( I realize that ##\hat{p}## in vanhees equation is a...
Lets pretend there is a gun of some type that can fire electrons one at at time at a wall. The plane of the wall is oriented perpendicular to the x axis, which is to say that the wall is in the y-z plane some distance down the xaxis.
There is no intervening screen with slits in it. We are just...
Many thanks to Hilbert2 for posting this.
I have implemented his code in C# and extended it to two dimensions. I would like to post images of the results.
The first image shows the first 6 eigenstates for a particle in a two dimensional box.
The second image shows the first 5 eigenstates...