- #1
Titan97
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Homework Statement
Normalized equation for particle in a ring, where V=0 on a ring of radius 'a' and infinite everywhere else.
Homework Equations
The Attempt at a Solution
Replcing x by rθ,
$$-\frac{\hbar^2}{2I}\frac{\partial^2\psi}{\partial\theta^2}=E\psi$$
By guess, I found out that ##Ae^{ik\theta}## is an eigenfunction of the hamiltonian.
To find ##A##, I used:
$$\int_0^{2\pi}|\psi|^2rd\theta=1$$
But in the solution, they used
$$\int_0^{2\pi}|\psi|^2d\theta=1$$So the normalization constants were different. Which one is correct?