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Schrodinger equation

  1. Aug 12, 2011 #1
    1. The problem statement, all variables and given/known data

    See attached photo

    2. Relevant equations

    none

    3. The attempt at a solution

    Just hoping someone could give me a hand with this.

    I think I need to convert polar coords into y and z using trig then perform an addition of the wavefunctions as the linear transform says, finally using the eular's formulae to simplify the exponentials resulting in the answer....I'm just not a hundred percent sure on how to do it. Any help would be awesome.
     

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  3. Aug 12, 2011 #2

    vela

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    I'd do it in the opposite order. Add the wave functions first and simplify. Then convert to Cartesian coordinates.

    In any case, even though you may not see how it's going to work out already, just start chugging away on it. It should become clear as you work on it.
     
  4. Aug 12, 2011 #3

    kuruman

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    First, just take the linear combination that the problem suggests. Then see if you can identify y and z (in polar form) in your expression.
     
  5. Aug 12, 2011 #4
    thanks for the replies...bit late now so Ill do it in the morning, btu can you refresh me on how the take the linear
     
  6. Aug 12, 2011 #5

    vela

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    Do you understand what the problem means by the notation d+1 and d-1?
     
  7. Aug 12, 2011 #6
    d orbital means l = 2.
    +1 and -1 are values of m.
     
  8. Aug 12, 2011 #7

    vela

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    I know you know. :smile: I want to know if KingBigness knows.
     
  9. Aug 12, 2011 #8
    Yes I see that and I understand most of it I just can't figure out where it all fits... guess that means I don't understand it haha

    Just not sure how to use a linear combination...I'm sure it is something easy and I'll feel like an idiot when I see the answer but right now I just don't
     
  10. Aug 12, 2011 #9

    vela

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    Just plug the functions into that expression and simplify. I'm not sure any of us sees where you're getting confused (and we won't until we can see your stab at solving the problem).
     
  11. Aug 12, 2011 #10
    Thanks for all your help woke up this morning has a stab and got it. Felt like and idiot after I solved it! Haha
    Sorry for all the confusion just wasn't thinking straight.
    Thanks again for all your help
     
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