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: Quantum harmonic potential problem

  1. Aug 1, 2014 #1
    1. The problem statement, all variables and given/known data

    Consider a particle of mass m in a harmonic potential:

    If the particle is in the first excited state (n = 1), what is the probability of finding the
    particle in the classically excluded region?

    2. Relevant equations



    3. The attempt at a solution

    I sub in

    and get a wave function:


    But I don't know how to set my bounds for the normalization integral.

    I've been advised that the classical limits are:

    But I'm still stuck.
  2. jcsd
  3. Aug 1, 2014 #2
    theWapiti - the classically excluded region is where the potential [itex]V(x)[/itex] exceeds the total energy of the system, which in this case is [itex]\frac{3}{2}\hbar\omega[/itex]. You need to find out how much of your wavefunction lies in this region. The integral given will probably come in useful for doing that.

    [I suggest the powers that be move this thread to "Advanced Physics Homework"]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted