  We investigate how the temperature calculated from the microcanonical entropy
compares with the canonical temperature for finite isolated quantum systems. We
concentrate on systems with sizes that make them accessible to numerical exact
diagonalization. We thus characterize the deviations from ensemble equivalence
at finite sizes. We describe multiple ways to compute the microcanonical
entropy and present numerical results for the entropy and temperature computed
in these various ways. We show that using an energy window whose width has a
particular energy dependence results in a temperature with minimal deviations
from the canonical temperature.
