- #1

gfd43tg

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## Homework Statement

## Homework Equations

## The Attempt at a Solution

a) I know that I am allowed to separate variables, such that ##\psi (r, \theta) = R(r) \Theta(\theta)##, but the part with the exponential is yet to be seen. So I put it into the Hamiltonian,

$$H = - \frac {\hbar^{2}}{2 \mu} \Big ( \frac {1}{R} \frac {\partial^{2} R}{\partial r^{2}} + \frac {1}{R} \frac {1}{r} \frac {\partial R}{\partial r} + \frac {1}{r^{2}} \frac {1}{\Theta} \frac {\partial^{2} \Theta}{\partial \theta^{2}} \Big ) + V $$

Since V is a function of r, it is not a constant, so I can't just call every term with derivatives as constants, can I? This is what I would normally be able to do, particularly if V = 0. So how do I proceed from here?