Given that

and expressing the coefficients in r/Ï• format:

show that

Use the identity exp (iθ) - exp (-iθ) = 2i sin θ to tidy this up to

Hence show that the bulk y-magnetization is given by

What value do you expect this to take at equilibrium?

Transcribed Image Text:

c.-ru exp (iOn ) ce-乍exp (ids) 1.) =-i rara {exp (i[φβ _ φ.) _ exp (-il@p_ φα])}