Quantum question

A recent preprint on Time in Quantum Theory by Dieter H Zeh has brought my attention
to the question of the `speed of quantum changes'. While the classical discussions of nonlocality
in Quantum Mechanics (QM) and consequences of Bell's Theorem are widely published, 
there are some other situations where nonlocality is rather hard to grok.

Consider a hydrogen atom in excited state. The electron wavefunction has some specific form, extending via exponentially vanishing factor, to infinity.
Now, when the atom emits a photon (preferably for this analysis in spontaneous emission)
the wavefunction changes. 
Question: does the wavefunction change at the same moment in the whole space?
Or, as Zeh suggests, is there a `wave' of changing wavefunction, spreading our from the atom?

Anyone knows any solution / references to this problem?