q-deformed superstatistics of the Schrodinger equation in commutative and noncommutative spaces with magnetic field

Abstract

We discuss the q-deformed algebra and study the Schrodinger equation in commutative and noncommutative spaces, under an external magnetic field. In this work, we obtain the energy spectrum by an analytical method and the thermodynamic properties of the system by using the q-deformed superstatistics are calculated. Actually, we derive a generalized version of the ordinary superstatistic for the non-equilibrium systems. Also, different effective Boltzmann factor descriptions are derived. In addition, we discuss about the results for various values of. in commutative and noncommutative spaces and, to illustrate the results, some figures are plotted.