article · Modern Physics Letters A
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.
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DOI: 10.1142/s0217732325501378
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