Series representations for calculations in quantum statistics. II

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Abstract
The methods developed in the first paper of this series (I) [J. Math. Phys. 27, 302 (1986)] are used to calculate the pressure in several cases of physical interest: conduction electrons inside and outside a heated tungsten cathode; helium atoms in liquid helium II and He vapor; electrons in a white dwarf star, and photons in a cavity. The latter two cases involve ultrarelativistic particles whose energy ε=pc. The formulation in I is extended to include particle speeds comparable to c. The grand potential is used to establish two useful, exact relationships between pressure and energy density: P=2u/3 and P=u/3, valid for v≪c and v≂c, respectively.

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