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

Homework Help: Excited state

  1. Nov 14, 2006 #1
    A particle in a potnetial V(x) has a definite energy

    [tex] E = - \frac{\hbar^2 \alpha^2}{2m} [/tex]

    and its eigenfunction is given by

    [tex] \psi(x) = Nx \exp(-alpha x) [/tex] if 0 <= x < infinity
    zero elsewhere

    Prove that [tex] V(x) = -alpha \hbar^2/mx [/tex] 0 <= x < infinity
    infinity elsewhere

    Given that the eigenfunction describes the ground state of the aprticle in teh potnetial V(x) roughly sketch the the eigenfunction whifchcdescribes the first excited state

    ground state ook like sketch 1

    no zeroes
    i think the first excited state will look like sketch
    it has to have 1 zero...

    Attached Files:

    • 1.JPG
      File size:
      7.3 KB
    • 2.JPG
      File size:
      8.4 KB
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted