  We solve the Schr\"odinger wave equation for the generalized Morse and Cusp
molecular potential models. In the limit of high temperature, at first, we need
to calculate the canonical partition function which is basically used to study
the behavior of the thermodynamic functions. Based on this, we further
calculate the thermodynamic quantities such as the free energy, the entropy,
the mean energy and the specific heat. Their behavior with the temperature has
been investigated. In addition, the susceptibility for two level systems is
also found by applying the incident time dependent field.
