  We continue the study of a novel relation between quantum periods and
TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous
works to a large class of Calabi-Yau geometries described by three-term quantum
operators. We give two methods to derive the TBA-like equations. One method
uses only elementary functions while the other method uses Faddeev's quantum
dilogarithm function. The two approaches provide different realizations of
TBA-like equations which are nevertheless related to the same quantum period.
