1. Not finding help here? Sign up for a free 30min 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!

Spontaneous emission rates for two-level system

  1. Apr 23, 2013 #1
    1. The problem statement, all variables and given/known data

    Our quantum system has two levels:

    ψ1 = (1/[itex]\pi[/itex])1/4 * e-x2/2

    ψ2 = (4/[itex]\pi[/itex])1/4 * x * e-x2/2

    The energy of the ground state ψ1 is 0; the energy of the excited state ψ2 is [itex]\hbar[/itex] * [itex]\omega[/itex]0. What is the spontaneous emission rate for this system when it is in the excited state?

    2. Relevant equations

    I believe the equation I want to use is

    A = [itex]\frac{\omega_0^3 * |p|^2}{3*\pi*\epsilon_0*\hbar*c}[/itex],

    where the above p is drawn with a strange forward tail of sorts.

    3. The attempt at a solution

    The only equations for that strange p I can come up with is

    p = q * [itex]\sqrt{\frac{n * \hbar}{2*m*w}} * \deltan',n-1[/itex] and

    p = q * <n|x|n'>.

    The latter seems likely right, using the two given wavelengths as n and n', but then where do the energy levels come in?

    (Please excuse my Latex rustiness - I'll try to edit any lines that don't work)
     
    Last edited: Apr 23, 2013
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Spontaneous emission rates for two-level system
  1. Two level laser (Replies: 0)

Loading...