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Solution to the Schrodinger equation

  1. Jan 22, 2013 #1
    I know that one solution to the Schrodinger equation is

    Aexp(i(kx - ωt))

    Is there a special relationship between k and ω for this to be a solution, or is it always a solution?
     
  2. jcsd
  3. Jan 22, 2013 #2
    That's the solution for a free particle. You can work out the dispersion relationship easily.

    The energy is only kinetic, p = hk (that should be h bar), E = hω (again, h bar).
     
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