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 |
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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