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: Expectation of Position of a Harmonic Oscillator

  1. Jan 17, 2013 #1

    My question is on determing the expectation value of position of the Harmonic Oscillator using raising and lowering operators, the question is part d) below:


    I have determined the position operator to be:


    and so the expectation value becomes:


    Though this is the bit I'm not sure about, I think only the a-dagger operator acts to increase the E-zero ket and the 'a' operator just causes the state to go to zero thus:


    Can someone confirm this?

  2. jcsd
  3. Jan 17, 2013 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Looks good.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook