Wave Function

  • #1

Homework Statement


Show that a wave function is phase-shifted by (pi)/2 when multiplied by
i and by (pi) when multiplied by −1.

Homework Equations



The wave function form I am using is function = A(cos(kx-wt)+isin(kx-wt))

But it was not specified which kind I can use



The Attempt at a Solution


I am not sure even where to begin...
 
Last edited:

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
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I think this is not a physics question, just a mathematics one :smile:
Phase-shifting by [itex]\phi[/itex] means replacing [tex]\psi \to e^{i \phi} \psi[/tex] ([itex]\phi[/itex] is called the phase, because the phase factor exp(i phi) only changes the argument and not the modulus of psi, so physical quantities which generally depend on [itex]|\psi|[/itex] are not affected by such a change).
So basically what they want you to show, as far as I can tell, is that if you set phi = pi / 2 then that's the same as changing psi for i psi - which is mathematics, not physics; and very easy too.
 
  • #3
Thanks, I actually manged to figure it out after I posted, thank goodness. Yeah, I guess that was actually math, but it was for my wave optics class which is physics 306 so I put it here :-)
 

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