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

Phonon model

  1. Nov 17, 2006 #1
    Let's suppose we have a Phonon gas in 1-D then:

    - density of states [tex] g(k)=A/ \frac{ d\omega (k)}{dk} [/tex] (i don't remember the value of constant A sorry.. :tongue2: :tongue2: )

    - The Schroedinguer equation (NO interaction) would be:

    [tex] H_TOTAL =\Sum_{i}\frac{P^{2} _{i}}{2M}+ \sum_{i}B\omega ^{2}(k) (x_{i})^{2} [/tex]

    B is another constant..since the SE is separable we can find the exact solution in terms of Hermite Polynomials..my question is How i could get the density of states for this gas???

    Ah..sorry another question if you know the "exact" partition function of a system can you determine the exact (by numercal or other methods) "shape" of the unit cell (i'm referring to get the sides of the unit cell, if this can be a cube or a parallepipede or other ..)
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: Phonon model
  1. Phonon Dispersion (Replies: 1)

  2. Phonon Dispersion (Replies: 2)

  3. Phonon waves (Replies: 19)

  4. What is a phonon? (Replies: 4)

  5. About phonons (Replies: 2)