### Abstract

The authors present the trajectory-coherent approximation for the Proca equation in the Riemann-Cartan space with an external electromagnetic field. The scheme for constructing the special class of asymptotical quasiclassical trajectory-coherent states (TCS) is given. They are localized in the neighbourhood of the wordline of the charged particle and admit the Hilbert structure with respect to the Proca inner product. The problem of the TCS construction is reduced to solving the Pauli-type linear evolution equation for the polarization vector. The pseudovector of the spin as the quantum mechanical average of the suitable spin operator in the TCS is defined and the covariant generalization for the well known Bargmann-Michel-Telegchi spinning equation in the case of background torsion fields from the Proca equation is obtained.

Original language | English |
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Article number | 016 |

Pages (from-to) | 533-543 |

Number of pages | 11 |

Journal | Classical and Quantum Gravity |

Volume | 9 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1992 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Classical and Quantum Gravity*,

*9*(2), 533-543. [016]. https://doi.org/10.1088/0264-9381/9/2/016