- #1

happyparticle

- 400

- 20

- Homework Statement
- I have to find the different energies allowed for a specific potential

- Relevant Equations
- ##\sqrt{\frac{2m(E + V_0)}{\hbar^2}} = tan(ka)k##

Hi,

I'm working on a problem where I need to find the different energies allowed for a potential, and I found this link https://quantummechanics.ucsd.edu/ph130a/130_notes/node151.html,

which is similar of what I'm doing. I'm using mathematica to find the values of E.

However, I'm not sure how to find the value of E.

For a bound state ##E < V(\infty)##. I'm wondering how to pick a value for E.

If ##V = 0.1## should I pick all E from 0 to 0.1? Then without using a graph, how will I know if this is a bound state for a specific value of E?

Thank you

I'm working on a problem where I need to find the different energies allowed for a potential, and I found this link https://quantummechanics.ucsd.edu/ph130a/130_notes/node151.html,

which is similar of what I'm doing. I'm using mathematica to find the values of E.

However, I'm not sure how to find the value of E.

For a bound state ##E < V(\infty)##. I'm wondering how to pick a value for E.

If ##V = 0.1## should I pick all E from 0 to 0.1? Then without using a graph, how will I know if this is a bound state for a specific value of E?

Thank you