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Hermite representation for integrals?

  1. Aug 4, 2014 #1
    Suppose I want an expectation value of a harmonic oscillator wavefunction, then in what way will I write the Hermite polynomial of nth degree into the integral? I have a link of the representation, but dont know what to do with them? http://dlmf.nist.gov/18.3
  2. jcsd
  3. Aug 4, 2014 #2


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    Why do you need the explicit form inside the integral? Leaving just H_n (x) is more than enough.
  4. Aug 4, 2014 #3
  5. Aug 5, 2014 #4
  6. Aug 8, 2014 #5
    ok If I have a integral like $$\int_{-\inf}^{\inf}{z*x*y}$$

    then can I write them seperately as:

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