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Homework Help: Show that this function satisfies Schrödinger equation for hydogen?

  1. Nov 19, 2011 #1
    1. The problem statement, all variables and given/known data
    Show that function

    Y = C sin θ (5cos2θ - 1 )ei[itex]\phi[/itex]

    satisfies Scrhödinger equation for hydrogen?

    2. Relevant equations


    3. The attempt at a solution

    I derivated the required elements of the equation but ended up to some messy equation with lots of sines and cosines here and there.. I checked the derivations with WolframAlpha and got the same result so they are ( I hope) correct. What exactly am I supposed to do?
  2. jcsd
  3. Nov 19, 2011 #2

    Simon Bridge

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    Science Advisor
    Homework Helper

    You are supposed to simplify the mess - specifically you are trying to show that the whole mess can be simplified to a constant multiplied by the original wavefunction.

    Welcome to wave mechanics xD
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