  We study the thermodynamics of various physical systems in the framework of
the Generalized Uncertainty Principle that implies a minimal length uncertainty
proportional to the Planck length. We present a general scheme to analytically
calculate the quantum partition function of the physical systems to first order
of the deformation parameter based on the behavior of the modified energy
spectrum and compare our results with the classical approach. Also, we find the
modified internal energy and heat capacity of the systems for the anti-Snyder
framework.
