# Spherical harmonics

## Homework Statement

In t=0, wave function of the particle that moves freely on the surface of the sphere has the wave function:

Ψ(Φ,θ) = (4+√5 +3√5cos2θ)/(8√2π)
what is time-dependent wave function?

## Homework Equations

Spherical harmonics

## The Attempt at a Solution

I tried normalizing this wave function and got (2π)¼. I don't think that is right. Was I even supposed to normalize this function?. Regardless of normalization, I don't know how to proceed.