Abstract
Connection between q-deformed harmonic oscillator and Morse-like anharmonic potential is investigated. It is well known that the potential of harmonic oscillator is parabolic. We have shown that the potential of q-deformed harmonic oscillator could be a Morse-like anharmonic potential. The relation between the deformation parameter q and the set of parameters of Morse-like anharmonic potential was found. We also investigated the partition function and some thermodynamic properties of q-deformed harmonic oscillator.
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