A measurement X collapses the wave function randomly into an eigenstate of X. Then if a different measurement Y is made the wave function will randomly collapse into an eigenstate of Y. So for example if you measure position, the wave function will collapse into a narrow peak. Now if you measure momentum, the wave function will collapse into a spread out wave.
Are all eigenstates like that? Or are there examples of eigenstates where if you make repeated measurements, it stays the same?
Are all eigenstates like that? Or are there examples of eigenstates where if you make repeated measurements, it stays the same?