**1. The problem statement, all variables and given/known data**
The problem statement is a bit length so I have attached a picture of the problem instead. The issue I am having pertains to part (b).

**2. Relevant equations**
**3. The attempt at a solution**
The main issue I am having is with what my Hamiltonian should look like when I do the integrals for part (b). Since the problem is in 3-D I'm just second guessing everything I write down. Any assistance is greatly appreciated.