Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Eigenvalue Question (p2.14 in Quantum Chemistry and Spectroscopy)

  1. Jan 18, 2012 #1
    function: e^-(x^2/2)
    operator: d^2/dx^2 -x^2

    The answer key says the function is an eigenfunction of the operator with an eigenvalue of -6.

    I can't figure out how to reach this conclusion. Also, Wolfram Alpha says d/dx(d/(dx)e^(-x^2/2)) = e^(-x^2/2) (x^2-1). Isn't this inconsistent with the answer key? Thanks.
  2. jcsd
  3. Jan 18, 2012 #2


    User Avatar
    Homework Helper

    It is an eigenfunction, but with different eigenvalue.

  4. Apr 15, 2012 #3
    guys please help me doing this,
    the operator is given as x+ d/dx
    i have to find the eigenvalue. how to do it?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook