Please use this identifier to cite or link to this item:
https://elib.bsu.by/handle/123456789/288172| Title: | Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field |
| Authors: | Zou, Liping Zhang, Pengming Silenko, Alexander J. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика |
| Issue Date: | 2020 |
| Publisher: | Institute of Physics Publishing |
| Citation: | J Phys G Nucl Part Phys 2020;47(5). |
| Abstract: | A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined. The obtained wave function contains the Gouy phase and significantly approaches the paraxial wave function for a free electron. |
| URI: | https://elib.bsu.by/handle/123456789/288172 |
| DOI: | 10.1088/1361-6471/ab7a88 |
| Scopus: | 85084194546 |
| Sponsorship: | This work was supported by the Belarusian Republican Foundation for Fundamental Research (Grant No. Φ18D-002), by the National Natural Science Foundation of China (Grants No. 11575254 and No. 11805242), and by the National Key Research and Development Program of China (No. 2016YFE0130800). A. J. S. also acknowledges hospitality and support by the Institute of Modern Physics of the Chinese Academy of Sciences. The authors are grateful to I. P. Ivanov for helpful exchanges. |
| Licence: | info:eu-repo/semantics/openAccess |
| Appears in Collections: | Статьи НИУ «Институт ядерных проблем» |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2003.04717.pdf | 139,83 kB | Adobe PDF | View/Open |
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