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Wavefunction normalisation and expectation values

  1. Dec 11, 2016 #1
    1. The problem statement, all variables and given/known data
    See Image, Sorry Its easier for me to attach images than writing all equation on the forum's keyboard! Screen Shot 2016-12-11 at 15.53.06.png I only need to check if i'm working it out correctly up to the position expectation value because I don't want to dive in the rest on wrong basis !

    2. Relevant equations
    file-1.jpeg

    3. The attempt at a solution
    file.jpeg
     
  2. jcsd
  3. Dec 11, 2016 #2

    PeroK

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    You need to try some latex. What you have is correct, except that right at the end in the expected value of ##x##, ##\alpha## leapt from the denominator to the numerator.

    ##\langle x \rangle = \frac{12}{13 \alpha}##
     
  4. Dec 11, 2016 #3
    Yeah still trying to learn latex, anyway, where the question asks to prove momentum expectation value is zero without integrals I get stuck, I got <p^2> = \frac{12/h^2}{13 } which still doesnt make sense to me, the units don't work!
     
  5. Dec 11, 2016 #4

    PeroK

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    Regarding ##\langle p \rangle## you might like to think about complex numbers and expectation values.

    I haven't tried to calculate ##\langle p^2 \rangle## or ##\langle x^2 \rangle##. You just need to be careful with the integration.
     
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