Pauli oscillator in noncommutative space

In this study, we investigate the Pauli oscillator in a noncommutative space. other words, derive wave function and energy spectrum of spin half non-relativistic charged particle that is moving under constant magnetic field with an potential We obtain critical values deformation parameter field, which counteract normal anomalous Zeeman effects. Moreover, find has to be smaller than $2.57\times 10^{-26}m^2$. Then, Helmholtz free energy, internal specific heat, entropy functions With graphical methods, at first, compare these ordinary ones, then, demonstrate effects on thermodynamic commutative space, respectively