The complex WKB-maslov method for the dirac equation in a torsion field: I. construction of trajectory-coherent states and the equation for spin

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

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The investigation of the Dirac equation by the WKB-Maslov method (complex sprout method) in Minkowski-Cartan space with an arbitrary external electromagnetic field is carried out. The Ehrenfest-type complete set of quasi-classical trajectory-coherent states (TCS) for the Dirac equation up to the order of O(h(cross)32/) at to 0 is constructed. These states have the form of wavepackets moving along the worldline of the charged particle. From the Dirac equation a classical relativistic spin equation is derived by the use of the TCS which coincides with the generalization of the well known Bargmann-Michel-Telegdi equation in the case of an arbitrary external torsion field.

Original languageEnglish
Article number011
Pages (from-to)1349-1359
Number of pages11
JournalClassical and Quantum Gravity
Issue number7
Publication statusPublished - 1991


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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