In noncommutative space, to find the Wigner function, we need to resolve the eigenequation [Formula: see text]. Generally, solving this type of system is very difficult. Deformation quantization is an efficient method applicable to special-form Hamiltonians, and it is limited to two dimensions. In this paper, we apply deformation quantization approach on three isotropic harmonic oscillators to derive the purity function. We numerically analyze our analytical results with respect different system parameters. We show that when the three harmonic oscillators are localized in the volume bounded by the noncommutative parameters, it becomes low entangled.
Recently,
f-oscillators in its various forms have been recognised as extremely important tools in many branches of physics. This paper is dedicated to find the wavefunctions for the most general
f-deformed oscillators. In the process, the homodyne quadrature operator and its eigenfunctions for the
f-deformed case is obtained. Then the wavefunctions for deformed oscillators are obtained for different types of deformations and for each deformation the wavefunctions are obtained for different values of deformation. We have compared the deformed oscillator wavefunctions with the non-deformed oscillator.