Abstract
On the basis of Maslov's complex germ method for the Dirac operator in external electromagnetic and torsion fields the quasi-classical spectral series corresponding within the limit h(cross) to 0 to the electron motion along closed stable orbits has been constructed. The quasi-classical energy spectrum is found from the condition of quantization of these orbits, and the quasi-classical asymptotics corresponding to the latter form a complete set of localized quantum state. The method is illustrated in all details by the electron motion in the axial fields as an example.
| Original language | English |
|---|---|
| Article number | 039 |
| Pages (from-to) | 1021-1043 |
| Number of pages | 23 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1994 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
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Bagrov, V. G., Belov, V. V., Trifonov, A. Y., & Yevseyevich, A. A. (1994). Quantization of closed orbits in Dirac theory by Maslov's complex germ method. Journal of Physics A: Mathematical and General, 27(3), 1021-1043. [039]. https://doi.org/10.1088/0305-4470/27/3/039