(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi, this is basically a particle in a box problem but V(x) is sinusoidal inside the box.

V(x)=-Asin(pi x/a) 0<x<a

V(x)=Infinity otherwise

A: depth of the well

In the question, it asks me to plot the first 4 eigenfunctions.

3. The attempt at a solution

After plugging the sinusoidal potential function into the Schrodinger equation, the equation looks like:

y''(x)-(E+Asin(Cx)y(x)=0

I don't have a clue about solving this. I've been looking at the quantum mechanics books and diff. eqs. books for hours but I can't seem to find anything useful. I'm using Mathematica I cannot solve it numerically since I don't know "E".

Is there any place that I can look at for a possible solution or direction? Thank you.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Infinite potential well with V(x)=Asin(x pi/a)

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**