Statistical Mechanics · Problem 9.11

Statistical Mechanics of Interacting Systems: The Method of Quantized Fields — R. K. Pathria

Physics — Statistical Mechanics · second-virial-coefficient-particles-with-spin

Problem

Show that for a gas composed of particles with spin

J

\mathfrak{b}_2^S(J) = (J+1)(2J+1)\mathfrak{b}_2^S(0) + J(2J+1)\mathfrak{b}_2^A(0)

and

\mathfrak{b}_2^A(J) = J(2J+1)\mathfrak{b}_2^S(0) + (J+1)(2J+1)\mathfrak{b}_2^A(0).