### 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

**The complex WKB-maslov method for the dirac equation in a torsion field : I. construction of trajectory-coherent states and the equation for spin.** / Bagrov, V. G.; Belov, V. V.; Trifonov, A. Y.; Yevseyevich, A. A.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 8, no. 7, 011, pp. 1349-1359. https://doi.org/10.1088/0264-9381/8/7/011

}

TY - JOUR

T1 - The complex WKB-maslov method for the dirac equation in a torsion field

T2 - I. construction of trajectory-coherent states and the equation for spin

AU - Bagrov, V. G.

AU - Belov, V. V.

AU - Trifonov, A. Y.

AU - Yevseyevich, A. A.

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001028877&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001028877&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/8/7/011

DO - 10.1088/0264-9381/8/7/011

M3 - Article

VL - 8

SP - 1349

EP - 1359

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 7

M1 - 011

ER -