We apply the generalized zeta function method to compute the Casimir energy and pressure between an unusual pair of parallel plates at finite temperature, namely, a perfectly conducting plate $\left(\overrightarrow{\epsilon }\infty \right)$ and an infinitely permeable one $\left(\overrightarrow{\mu }\infty \right).\mathrm{}$ The high- and low-temperature limits of these quantities are discussed. Relationships between high- and low-temperature limits for the free energy are established by means of a modified version of the temperature inversion symmetry.

• Received 26 March 1999

DOI:https://doi.org/10.1103/PhysRevD.60.105022