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## Homework Statement

Calculate the spin wave dispersion relation E

_{k}for the ferromagnetic heisenberg model with j

_{tot}= 1/2

Assume a 1d square lattice and interactions of strength J between nearest neighbours and zero elsewhere

## Homework Equations

H|k> = [E0 +2j

_{tot}[itex]\sum J(r)(1-Exp(ik.r) [/itex]] |k>

## The Attempt at a Solution

Not really sure where to start :/