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!

Raising and lowering operators

  1. May 5, 2017 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    1.1st circle on the left : where did I miss a minus sign?
    2. How to show that the last term is equal to 1?

  2. jcsd
  3. May 5, 2017 #2


    User Avatar
    Homework Helper
    Gold Member

    I don't think you missed a minus sign here.
    You'll have to see if it is, in fact, equal to 1.

    You could try expanding the two exponentials in your question-mark expression and see if you can simplify it. Think about what happens when you act on the ground state with powers of a followed by powers of a.
  4. May 5, 2017 #3
    Thanks, after expanding the exponential I recover the minus sign:smile:.
  5. May 5, 2017 #4


    User Avatar
    Homework Helper
    Gold Member

    OK, good.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Raising and lowering operators