1-D antiferromagnetic magnons
3-D low temperature limit
bcc ferromagnetic magnons
Equations of motion in mean field theory
$\hbar\frac{dS_p^x}{dt}= 2JS (2S_{p}^y-S_{p-1}^y-S_{p+1}^y )$
$\hbar\frac{dS_p^y}{dt}= -2JS (2S_{p}^x-S_{p-1}^x-S_{p+1}^x )$
$\hbar\frac{dS_p^z}{dt}= 0$
Eigenfunction solutions
Dispersion relation
Density of states D(ω)
Energy spectra1 density
Internal energy
Helmholtz free energy
Entropy
Specific heat