Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 16.2-1

THE CANONICAL FORMALISM; STATISTICAL MECHANICS IN HELMHOLTZ REPRESENTATION

Physics — Statistical Mechanics · partition-sum-three-particles

Problem

Consider a system of three particles, each different. The first particle has two orbital states, of energies

\varepsilon_{11}

and

\varepsilon_{12}

. The second particle has permissible energies

\varepsilon_{21}

and

\varepsilon_{22}

, and the third particle has permissible energies

\varepsilon_{31}

and

\varepsilon_{32}

. Write the partition sum explicitly in the form of equation 16.14, and by explicit algebra, factor it in the form of equation 16.17.