Statistical aspects of harmonic oscillator under minimal length supposition

This paper attempts to study the influence of the Generalized Uncertainty Principle (GUP) on the statistical aspects of the N-one dimensional harmonic oscillator. The Investigations are introduced in both classical and quantum domains. It is shown how the GUP scenario modifies the N-oscillator canonical partition functions of each of the approaches. The modifications of the thermodynamical parameters such as the mean energy and entropy are obtained. The applied method stands on the perturbation technique and is simple and the modified characteristics are applicable and do not have the complexity of the other parallel approaches. The deformation parameter of considered GUP model, also estimated for an ensemble of hydrogen atoms.