- #1

MathematicalPhysicist

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## Homework Statement

In the attachments there is the question and its solution, it's problem 3.5.

## Homework Equations

## The Attempt at a Solution

My question is how did they get the dimensionless Hamiltonian in both cases, and how did they explicitly calculated ##m## in both cases?

I assume it's with ##m = \frac{\sum_{\sigma_i}\sigma_i e^{-\beta H}}{\sum e^{-\beta H}}##, but I really don't see how to get to the same terms as in the solution.

Your help is appreciated!

https://www.physicsforums.com/attachments/214464 https://www.physicsforums.com/attachments/214465