All Questions
5
questions
0
votes
1
answer
720
views
Discrete Spectrum vs Continuous Spectrum and Bounded, Scattering States
Apolgies in advance if this is a confusing ramble and multitude of questions, I'm not quite sure how to articulate myself. I am currently reading up on quantum mechanics and seem to have confused ...
1
vote
1
answer
849
views
Asymmetric potential well and discrete energy levels
Let us consider an asymmetric potential, which is piecewise defined as $V_1$ for $x<0$, $0$ when $0<x<a$ and $V_2$ for $x>a$, together with the condition $V_1 > V_2 >0$.
In the first ...
2
votes
1
answer
399
views
Potential step with Infinite negative potential
When a particle with Energy $E>0$ approaches from $x<0$ an infinite negative potential with following conditions:
$
V(y)=
\begin{cases}
0 &\text{if}\,& x\leq 0 \\
-\infty&\text{if}\...
1
vote
2
answers
131
views
Potential barrier, vertically shifted
I'm attempting to solve the 1D Schrodinger Equation, approaching a potential barrier defined as follows:
$$V(x) = \begin{cases}-V_0&\quad\text{for}\quad x<0
\\0&\quad\text{for}\quad x>0\...
13
votes
1
answer
597
views
Explicitly verifying a scattering theory identity
I have recently studied scattering theory on a formal level and I think I understand the subject quite well by now. However what I often struggle with is to translate the abstract identities into ...