# I Partition function of electrons in a magnetic field

1. Jul 15, 2016

### MMS

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

(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?