- #1
Ang Han Wei
- 9
- 0
Homework Statement
I was given a Hamiltonian H = -[itex]\mu[/itex]B[itex]\sum[/itex]cos[itex]\alpha_{i}[/itex]
where the sum is over i from i = 1 to i = N
I need the partition function given this Hamiltonian.
Homework Equations
The Attempt at a Solution
I tried using the classical approach where [itex]Z_{N}[/itex] = [itex]\frac{1}{h^{3}}[/itex][itex]\int[/itex][itex]d^{3}[/itex]p[itex]d^{3}[/itex]q exp[[itex]\beta[/itex][itex]\mu[/itex]B[itex]\sum[/itex]cos[itex]\alpha_{i}[/itex]], but I am stuck at what to do with the cos summation.
Can anyone help?
Thanks!