  In this paper the detailed investigation of one of the most interesting
models in the non relativistic quantum mechanics of one massive particle i.e.,
introduced by G. Poeschl and E. Teller in 1933 is continued; the starting point
of dynamic analysis for potentials, wave functions and energy spectrum was
carried on by the same authors in the paper. The generalization of these
results on the case of nonzero temperature includes the approximate calculation
of the partition function of the model and then also the Massieu Planck
thermodynamic potential and its most important derivatives, i.e. internal
energy, heat capacity and pressure. The analysis of the results is carried on
separately for low and high temperature regions because of the lack of exact
unifying expressions of the potential at all temperatures.
