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

Tough Perturbation Question (At least for me)

  1. Mar 14, 2005 #1
    Consider a particle confined in a two dimensional square well with faces at x=0,a;y=0,a. The doubly degenerate eigenstates appear as Psinp=(2/a)sin(n(pi)x/a)sin(p(pi)x/a)
    Enp=E1(n^2 + p^2)

    What do these energies become under perturbation H'=10^-3E1sin((pi)x/a)?

    Help anyone? No idea how to solve this.
     
  2. jcsd
  3. Mar 14, 2005 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    There's not too much advice to give,just apply the theory strictly.Identify the basis,compute the pertubation matrix and then write the system of equations.

    Daniel.
     
  4. Mar 14, 2005 #3

    Tom Mattson

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    I agree, this is about as plug-and-chug as it gets. Ed, have you read the relevant material in your textbook? This is a straightforward exercise in time-independent degenerate perturbation theory.

    edit:

    Here's a nice summary:
    http://electron6.phys.utk.edu/qm2/modules/m8/degenerate.htm
     
    Last edited: Mar 14, 2005
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Tough Perturbation Question (At least for me)
  1. Perturbation question (Replies: 4)

Loading...