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Error in magnetisation of spin J
Hi,
There is a minor error in the lecture notes which was already remarked during the lecture. When considering the magnetisation of a spin J we obtain
Both in the numerator and denominator, we are missing the Landé factor g in the exponential. Also, analogously to the spin 1/2 equation, we are missing a minus sign in front of the numerator. This is due to the fact that a positive spin (m_j>0) gives a negative magnetic moment (see footnote 15 in section 4.3).
Best regards