Recent content by Matthew888

I am translating the problem from Italian :shy: I found A,B,C,D using the boundary conditions (I don't have doubts about the result because I used a mathematical software). Thank you for helping me.

What do you mean? I don't understand where is the problem: I know that E>-V_0, so l\in\mathbb{R}.

Homework Statement Consider a particle (which mass is m) and the following unidimensional potential: V(x)=\begin{cases}+\infty & x<0\\ -V_0 & 0<x<a\\0 & x>a \end{cases} Let E be positive. Find the spatial autofunction. Homework Equations I'm convinced that I have to use...

The way you solved the problem is pretty interesting. Thank you for the attention!

I don't think that this problem is so difficult (I don't even know what WKB approximation is :biggrin:). I finally managed to solve this ODE: I found the ground state autofunction \psi_1=\frac{2\sqrt{a}x}{a}\exp{-\frac{x}{a}}, where a=\frac{4\bar{h}^2}{me^2} (I put \alpha=\frac{e^2}{4}...

I am pretty sure that I have to find a set of solutions in function of x. So the question still remains :biggrin:

I am sorry for my mistakes. The potential is in the form V(x)=\frac{-\alpha}{x}, where \alpha is positive. The ODE should be: \frac{-\bar{h}^2}{2m}\frac{d^2\psi}{dx^2}-\frac{\alpha}{x}\psi=E\psi I know that ODEs like y''(t)+ky(t)=0 are very simple, but this happens if k is a real number...

Homework Statement Consider a particle with charge $e$ which moves in $x$ axys (in particular in the positive region) with the potential $V(x)=-\alpha/x$ ($\alpha>0$). Find the ground state energy. Homework Equations I think that in some way I have to solve this ODE...