### 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 |
---|---|

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 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Classical and Quantum Gravity*,

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

**Quantum mechanics of charged massive spin-1 particle in curved spacetime with torsion : Quasiclassical analysis of the Proca equation based on the Maslov complex sprout method.** / Bagrov, V. G.; Trifonov, A. Y.; Yevseyevich, A. A.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 9, no. 2, 016, pp. 533-543. https://doi.org/10.1088/0264-9381/9/2/016

}

TY - JOUR

T1 - Quantum mechanics of charged massive spin-1 particle in curved spacetime with torsion

T2 - Quasiclassical analysis of the Proca equation based on the Maslov complex sprout method

AU - Bagrov, V. G.

AU - Trifonov, A. Y.

AU - Yevseyevich, A. A.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0011554555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011554555&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/9/2/016

DO - 10.1088/0264-9381/9/2/016

M3 - Article

AN - SCOPUS:0011554555

VL - 9

SP - 533

EP - 543

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 2

M1 - 016

ER -