- #1
tryingtolearn1
- 58
- 5
- Homework Statement
- Determining the normalization constant
- Relevant Equations
- Normalization
In my book it has the following example,
A particle confined to the surface of a sphere is in the state
$$\Psi(\theta, \phi)= \Bigg\{^{N(\frac{\pi^2}{4}-\theta^2), \ 0 < \theta < \frac{\pi}{2}}_{0, \ \frac{\pi}{2} < \theta < \pi}$$
and they determined the normalization constant for ##N## which is $$N = \frac{1}{\sqrt{\frac{\pi^5}{8}+2\pi^3 - 24\pi^2 + 48\pi}}$$
but they never provided an example on how it was determined?
A particle confined to the surface of a sphere is in the state
$$\Psi(\theta, \phi)= \Bigg\{^{N(\frac{\pi^2}{4}-\theta^2), \ 0 < \theta < \frac{\pi}{2}}_{0, \ \frac{\pi}{2} < \theta < \pi}$$
and they determined the normalization constant for ##N## which is $$N = \frac{1}{\sqrt{\frac{\pi^5}{8}+2\pi^3 - 24\pi^2 + 48\pi}}$$
but they never provided an example on how it was determined?