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What are the solutions to this equation called?

  1. Jan 15, 2015 #1
    [tex]\frac{-\hbar}{2m} \frac {\partial^2\psi(r)} {\partial r^2} + \frac {\hbar^2l(l+1)}{2m} \frac {\psi(r)}{r^2}+v(r)\psi(r)= E \psi(r)[/tex]

    It's seen in this part of a Susskind video lecture.

    He mentions some kind of polynomial or function that I don't recognize for the solutions. He says to look it up and I would love to but I'm unable to make out what he said. Any ideas?

    Thank you for your time.
     
  2. jcsd
  3. Jan 15, 2015 #2

    Bystander

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    "Spherical Bessel functions." May also have been a mention of Hermite polynomials.
     
  4. Jan 15, 2015 #3
    Thanks for the quick reply. Will check those out.

    He says something that sounds like "giggenval", but I cannot find any reference to something that sounds like that.
     
  5. Jan 15, 2015 #4

    Bystander

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    "eigen value(s)"
     
  6. Jan 15, 2015 #5
    Nah, he says that all the time, and there's definitely no 'you' sound at the end. It's like "vaul" or "vaula".
     
  7. Jan 15, 2015 #6

    HallsofIvy

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  8. Jan 17, 2015 #7
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