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I Partition function of electrons in a magnetic field

  1. Jul 15, 2016 #1

    MMS

    User Avatar

    Hello everyone,

    How can I calculate the partition function of N classical electrons (forgetting about the spin) in a box of volume V with Hamiltonian
    bHw6ntV.png
    (The Hamiltonian is missing a factor of 1/(2m))
    ?
    I tried calculating the partition function of one electron first in the canonical ensemble but the integral seems to be quite hard to solve as I have 3 coordinates of momentum as well as 3 coordinates of vector potential but it doesn't seem to work...
    Any ideas?

    Thanks in advance.
     
  2. jcsd
  3. Jul 21, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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