### Abstract

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)^{3}2/) 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 language | English |
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Article number | 011 |

Pages (from-to) | 1349-1359 |

Number of pages | 11 |

Journal | Classical and Quantum Gravity |

Volume | 8 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1991 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Classical and Quantum Gravity*,

*8*(7), 1349-1359. [011]. https://doi.org/10.1088/0264-9381/8/7/011