1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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: Wave function

  1. Feb 26, 2006 #1
    In a region of space, a particle has a wave function given by [tex] \psi(x) = A\exp(\frac{-x^2}{2L^2}})[/tex] and energy [tex] E = \frac{\hbar^2}{2mL^2} [/tex]

    Find the potential energy as a function of x.

    Do I plug these into the time independent wave equation and solve for U(x) ? If so, I don't see what exactly I'm supposed to do with the energy, E. There is already a similar term in the wave equation.
    Last edited: Feb 26, 2006
  2. jcsd
  3. Feb 26, 2006 #2
    [tex]-\frac{\hbar^2}{2m}\frac{d^2}{dx^2} \psi(x) + U(x) \psi (x) = E \psi(x)[/tex].
    Plug in what you know, take the derivative and solve for U(x).

  4. Feb 26, 2006 #3
    Ok I was thinking of the time-dependent wave equation.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook