Wigner function for spin-1/2 fermions in electromagnetic fields
- We study the Wigner function for massive spin-1/2 fermions in electromagnetic fields. The Wigner function is analytically solved in five cases when electromagnetic fields are constants. For a general space-time dependent field configuration, we use the method of semi-classical expansion and solved the Wigner function at linear order in the Planck's constant. At the same order, we obtained a generalized Boltzmann equation for particle distribution, and a generalized BMT equation for spin polarization. Using the Wigner function, we calculated some physical quantities in a thermal equilibrium system.
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| Author: | Xinli Sheng |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-526504 |
| Place of publication: | Frankfurt am Main |
| Referee: | Dirk H. RischkeORCiDGND, Qun WangORCiD |
| Document Type: | Doctoral Thesis |
| Language: | English |
| Year of Completion: | 2019 |
| Year of first Publication: | 2019 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Granting Institution: | Johann Wolfgang Goethe-Universität |
| Date of final exam: | 2019/10/14 |
| Release Date: | 2020/01/17 |
| Tag: | Wigner function; chiral effect; electromagnetic fields |
| Page Number: | 190 |
| HeBIS-PPN: | 457757078 |
| Institutes: | Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
