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.
Author: | Xinli Sheng |
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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 |