Journal of Physics Conference Series

On the pseudo hermiticity and q-deformation

Hafida Moulla, N. Mebarki, Ilhem Leghrib

Published Jan 1, 2021• 1 citation

Abstract

Abstract The non hermiticity of the Hamiltonian is shown to be generated from the q-deformation of the algebra. As an example the q-deformed harmonic oscillator is investigated within the leading order approximation in the pseudo Hermitian perturbation theory. A generalized form of the metric is constructed. The spectrum as well as eigenstates of the system are derived explicitly.. Some applications and illustrations in q-deformed quantum statistical mechanics are also discussed.

DOI: 10.1088/1742-6596/1766/1/012025

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