Quantization of closed orbits in Dirac theory by Maslov's complex germ method

V. G. Bagrov, V. V. Belov, A. Yu Trifonov, A. A. Yevseyevich

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish
Article number039
Pages (from-to)1021-1043
Number of pages23
JournalJournal of Physics A: Mathematical and General
Volume27
Issue number3
DOIs
Publication statusPublished - 1994

Fingerprint

Closed Orbit
Paul Adrien Maurice Dirac
Quantization
Orbit
Electron
orbits
Motion
Dirac Operator
Energy Spectrum
Quantum State
torsion
Torsion
electromagnetic fields
energy spectra
electrons
operators
Closed
Series
Form

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

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 journalArticle

Bagrov, V. G. ; Belov, V. V. ; Trifonov, A. Yu ; Yevseyevich, A. A. / Quantization of closed orbits in Dirac theory by Maslov's complex germ method. In: Journal of Physics A: Mathematical and General. 1994 ; Vol. 27, No. 3. pp. 1021-1043.
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