How to Experimentally Obtain Wavefunction Parameters?

[Waxterz]

How you obtain the Wavefunction of a system?

$$\Psi$$ = A e$$^{kx + wt}$$

I get it that you can plug this in the Schrödinger equation, but what I don't get is how you obtain the parameters experimentally ?

 

[jtbell]

The wavenumber and angular frequency are related to the momentum and energy respectively:

$$\Psi = Ae^{i(kx-\omega t)} = Ae^{i(px-Et)/\hbar}$$

The amplitude is related to the relative probability of finding the particle at a particular location. For a pure plane wave (same amplitude everywhere), the probability is uniform. That is, the particle is just as likely to be located one place as any other place.