Schrodinger & semi-inverse-law potential

alevu
Messages
4
Reaction score
0

Homework Statement



Help me solve the schrodinger equation for cylindrical quantum wire with semi-inverse-law potential :
http://www.upanh.com/upanh_untitled/v/euieaacf5f.htm
Thanks
My email address : duytien.tran89@gmail.com




Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
Physics news on Phys.org
Well, so you know to separate the PDE in cylindrical coordinates ?
 
dextercioby said:
Well, so you know to separate the PDE in cylindrical coordinates ?

what next , it seems complicated ? Have you tried it ?
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top