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Homework Help: Wave Function as superposition of eigenstates

  1. Apr 19, 2007 #1
    Hi!

    How can I write the wave function of a particle in an infinite box (in the state n) as a superposition of the eigenstates of the momentum operator?

    the wave function is:

    PHIn(x,t) = sqrt(2/a) * Sin(n * PI/a * x) * exp(-i En/h * t)

    Thanks for your help!
     
  2. jcsd
  3. Apr 20, 2007 #2
    well what are the basic solutions to py =ky for the momentum operator P? (BTW what are the solution of y"=ky?)

    Can you express, say, the Sine function in term of these functions? (Try the expressing Sine in terms of exponentials via Euler's Identity.)
     
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