Zeeman Effect in Phase Space
The two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using the solution of the Schrödinger 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 Co...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/4269246 |
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| _version_ | 1849396581885804544 |
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| author | R. A. S. Paiva R. G. G. Amorim S. C. Ulhoa A. E. Santana F. C. Khanna |
| author_facet | R. A. S. Paiva R. G. G. Amorim S. C. Ulhoa A. E. Santana F. C. Khanna |
| author_sort | R. A. S. Paiva |
| collection | DOAJ |
| description | The two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using the solution of the Schrödinger 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 Schrödinger equation easier by using the perturbation theory. The negativity parameter for this system is realised. |
| format | Article |
| id | doaj-art-b1d019d34aaa48858535e0d09b2d048c |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b1d019d34aaa48858535e0d09b2d048c2025-08-20T03:39:18ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/42692464269246Zeeman Effect in Phase SpaceR. A. S. Paiva0R. G. G. Amorim1S. C. Ulhoa2A. E. Santana3F. C. Khanna4International Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, BrazilInternational Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, BrazilInternational Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, BrazilInternational Center of Physics, Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, BrazilDepartment of Physics and Astronomy, University of Victoria, BC, V8P 5C2, CanadaThe two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using the solution of the Schrödinger 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 Schrödinger equation easier by using the perturbation theory. The negativity parameter for this system is realised.http://dx.doi.org/10.1155/2020/4269246 |
| spellingShingle | R. A. S. Paiva R. G. G. Amorim S. C. Ulhoa A. E. Santana F. C. Khanna Zeeman Effect in Phase Space Advances in High Energy Physics |
| title | Zeeman Effect in Phase Space |
| title_full | Zeeman Effect in Phase Space |
| title_fullStr | Zeeman Effect in Phase Space |
| title_full_unstemmed | Zeeman Effect in Phase Space |
| title_short | Zeeman Effect in Phase Space |
| title_sort | zeeman effect in phase space |
| url | http://dx.doi.org/10.1155/2020/4269246 |
| work_keys_str_mv | AT raspaiva zeemaneffectinphasespace AT rggamorim zeemaneffectinphasespace AT sculhoa zeemaneffectinphasespace AT aesantana zeemaneffectinphasespace AT fckhanna zeemaneffectinphasespace |