Show that for a gas composed of particles with spin (J) [hbar_{2}^{S}(J)=(J+1)(2 J+1) hbar_{2}^{S}(0)+J(2 J+1){varpi_{2}^{A}}^{A}(0)] and [bar{b}_{2}^{A}(J)=J(2

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Show that for a gas composed of particles with spin \(J\)

\[\hbar_{2}^{S}(J)=(J+1)(2 J+1) \hbar_{2}^{S}(0)+J(2 J+1){\varpi_{2}^{A}}^{A}(0)\]

and

\[\bar{b}_{2}^{A}(J)=J(2 J+1) \hbar_{2}^{S}(0)+(J+1)(2 J+1) \hbar_{2}^{A}(0) .\]

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Statistical Mechanics

ISBN: 9780081026922

4th Edition

Authors: R.K. Pathria, Paul D. Beale

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