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

Результат исследований: Материалы для журналаСтатья

6 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаАнглийский
Номер статьи016
Страницы (с-по)533-543
Число страниц11
ЖурналClassical and Quantum Gravity
Том9
Номер выпуска2
DOI
СостояниеОпубликовано - 1992

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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