The two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using the solution of the Schr?dinger equation in phase space, the Wigner function related to the Zeeman effect is calculated. For this purpose, the Bohlin mapping is used to transform the Coulomb potential into a harmonic oscillator problem. Then, it is possible to solve the Schr?dinger equation easier by using the perturbation theory. The negativity parameter for this system is realised.
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