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: The plots of wave function of harmonic oscillator

  1. Jun 21, 2017 #1
    1. The problem statement, all variables and given/known data
    In Griffiths' book "Introduction to Quantum Mechanics", Section 2.3, Chapter 2, the Fig. 2.7 gives the plots of the wave function (##\psi_{n}##) and its modulus of the harmonics oscillator, see the Appendix. With the order (##n##) increasing, they become both higher. However, according to the Equation [2.85], the wave function shouldn't be higher with ##n## increasing. They are just a normalizable wave function, if the baseline is greater than 1, it won't normalize. So how to understand the plots?

    2. Relevant equations
    $$\xi\equiv x\sqrt{m\omega/\hbar}$$

    3. The attempt at a solution
    I doubt if it is just a demonstration of Energy level and the plots' height is not related to the wave function.
  2. jcsd
  3. Jun 21, 2017 #2
    first off, the graf you called the "modulus" is actually the probability distrbution.
    wth that in mind, the lines "n=x" are (must be) your 0 line, they are just ploted over each other. was that your question?

    E=(n+1/2)ħw so with n increasing you have more energy therefore you can "travel" further from the origin.
  4. Jun 21, 2017 #3
    Yes, that is. All of the functions should be around the horizontal axis.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted