Nomenclature : global or constant phase

[jk22]

Is the phase factor in : $e^{i\phi}\Psi(x)$ a constant or a global phase factor called ?

 

[vanhees71]

I don't know without context ;-).

 

[jk22]

Indeed I hesitated to put it in the math section.

Or : does it happen to have something like : $e^{i\int K(\Psi(s),s)ds}\Psi(x)$ ?

So that the phase on a function of all the points, or the shape of the wavefunction ?

But anyhow I would think it's unhandlable and very heavy mathematically.

 

[vanhees71]

I have no clue, what you are talking about. You should provide the physics context. Phases are everywhere in quantum theory. Their meaning depends on the context of the physics you want to describe!