Quasi-classical trajectory-coherent approximation for the Dirac equation with an external electromagnetic field in Riemann-Cartan space. II. Construction of TCS and equation for spin

V. G. Bagrov, V. V. Belov, A. Yu Trifonov, A. A. Yevseyevich

Результат исследований: Материалы для журналаСтатья

6 Цитирования (Scopus)

Выдержка

For pt.I, see ibid., vol.8, p.515 (1991). Using Maslov's complex sprout method, special classes of the Ehrenfest-type approximate solutions of the Dirac equation in curved spacetime in the presence of external electromagnetic and torsion fields are constructed. They form a complete orthonormalized set of quasiclassical trajectory-coherent one-particle quantum states (TCS) and are strongly peaked around the worldline neighbourhood of the charged particle. The key tool in the TCS construction is the ' gamma -reconstruction' technique with the help of which it can be shown that the problem of TCS construction is reduced to the solution of the linear evolution equation for a two-component spinor. On the basis of the results obtained the generally covariant spinning equation of motion in the case of background gravitational, electromagnetic and torsion fields is deduced from the Dirac equation.

Язык оригиналаАнглийский
Номер статьи009
Страницы (с-по)1833-1846
Число страниц14
ЖурналClassical and Quantum Gravity
Том8
Номер выпуска10
DOI
СостояниеОпубликовано - 1991

Отпечаток

Cartan space
Dirac equation
torsion
linear evolution equations
electromagnetic fields
trajectories
approximation
gravitational fields
metal spinning
charged particles
equations of motion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Цитировать

Quasi-classical trajectory-coherent approximation for the Dirac equation with an external electromagnetic field in Riemann-Cartan space. II. Construction of TCS and equation for spin. / Bagrov, V. G.; Belov, V. V.; Trifonov, A. Yu; Yevseyevich, A. A.

В: Classical and Quantum Gravity, Том 8, № 10, 009, 1991, стр. 1833-1846.

Результат исследований: Материалы для журналаСтатья

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AU - Belov, V. V.

AU - Trifonov, A. Yu

AU - Yevseyevich, A. A.

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N2 - For pt.I, see ibid., vol.8, p.515 (1991). Using Maslov's complex sprout method, special classes of the Ehrenfest-type approximate solutions of the Dirac equation in curved spacetime in the presence of external electromagnetic and torsion fields are constructed. They form a complete orthonormalized set of quasiclassical trajectory-coherent one-particle quantum states (TCS) and are strongly peaked around the worldline neighbourhood of the charged particle. The key tool in the TCS construction is the ' gamma -reconstruction' technique with the help of which it can be shown that the problem of TCS construction is reduced to the solution of the linear evolution equation for a two-component spinor. On the basis of the results obtained the generally covariant spinning equation of motion in the case of background gravitational, electromagnetic and torsion fields is deduced from the Dirac equation.

AB - For pt.I, see ibid., vol.8, p.515 (1991). Using Maslov's complex sprout method, special classes of the Ehrenfest-type approximate solutions of the Dirac equation in curved spacetime in the presence of external electromagnetic and torsion fields are constructed. They form a complete orthonormalized set of quasiclassical trajectory-coherent one-particle quantum states (TCS) and are strongly peaked around the worldline neighbourhood of the charged particle. The key tool in the TCS construction is the ' gamma -reconstruction' technique with the help of which it can be shown that the problem of TCS construction is reduced to the solution of the linear evolution equation for a two-component spinor. On the basis of the results obtained the generally covariant spinning equation of motion in the case of background gravitational, electromagnetic and torsion fields is deduced from the Dirac equation.

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