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arXiv · 1911.11556

Zeeman Effect in Phase Space

R. A. S. Paiva·R. G. G. Amorim·S. C. Ulhoa·A. E. Santana·F. C. Khanna
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Abstract

The two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using solution of the Schr\"{o}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\"{o}dinger equation easier by using the perturbation theory. The negativity parameter for this system is realised.

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R. A. S. Paiva, R. G. G. Amorim, S. C. Ulhoa, A. E. Santana, F. C. Khanna. 2019-11-21. Zeeman Effect in Phase Space. https://arxiv.org/abs/1911.11556

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