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 journalArticlepeer-review

8 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

ASJC Scopus subject areas

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

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