English

Zeeman Effect in Phase Space

Quantum Physics 2019-11-27 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1911.11556,
  title  = {Zeeman Effect in Phase Space},
  author = {R. A. S. Paiva and R. G. G. Amorim and S. C. Ulhoa and A. E. Santana and F. C. Khanna},
  journal= {arXiv preprint arXiv:1911.11556},
  year   = {2019}
}

Comments

Accepted in Advances in High Energy Physics

R2 v1 2026-06-23T12:27:42.538Z