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 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
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Quantization of closed orbits in Dirac theory by Maslov's complex germ method. / Bagrov, V. G.; Belov, V. V.; Trifonov, A. Yu; Yevseyevich, A. A.
In: Journal of Physics A: Mathematical and General, Vol. 27, No. 3, 039, 1994, p. 1021-1043.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Quantization of closed orbits in Dirac theory by Maslov's complex germ method
AU - Bagrov, V. G.
AU - Belov, V. V.
AU - Trifonov, A. Yu
AU - Yevseyevich, A. A.
PY - 1994
Y1 - 1994
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=21344479651&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21344479651&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/27/3/039
DO - 10.1088/0305-4470/27/3/039
M3 - Article
VL - 27
SP - 1021
EP - 1043
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 3
M1 - 039
ER -