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

The wave function of a particle satisfies the time-independent schrodinger equation.

If the potential is symmetric and has the form

[tex] V(x) = \inf[/tex] |x|>1.0

[tex] V(x) = \frac{\hbar^2V_0}{2m} [/tex] |x|<0.2

[tex] V(x) = 0 [/tex] Elsewhere

Using the shooting method, I need to find the ground state energy and the normalised group state wave function if [itex] V_0 = 50 [/itex]. What is the energy of the first excited state?

2. Relevant equations

3. The attempt at a solution

I have no idea where to even start. I only have the very basic of ideas of how the shooting method works. I am suppose to program this, but the coding shouldn't be a problem. I just don't even know where to begin. I do know from that the boundary conditions are [itex] \phi(-1) = \phi(1) = 0 [/itex]. Other than that I'm clueless.

edit: [itex] \phi [/itex] represents the wavefunction, I just dont know how to write it.

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

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: Schrodinger Equation help

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