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

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Article number016
Pages (from-to)533-543
Number of pages11
JournalClassical and Quantum Gravity
Volume9
Issue number2
DOIs
Publication statusPublished - 1992

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torsion
quantum mechanics
trajectories
linear evolution equations
Cartan space
metal spinning
charged particles
electromagnetic fields
operators
polarization
products
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "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",
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.",
author = "Bagrov, {V. G.} and Trifonov, {A. Y.} and Yevseyevich, {A. A.}",
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T2 - Quasiclassical analysis of the Proca equation based on the Maslov complex sprout method

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AU - Trifonov, A. Y.

AU - Yevseyevich, A. A.

PY - 1992

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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.

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