TY - JOUR

T1 - 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

AU - Bagrov, V. G.

AU - Belov, V. V.

AU - Trifonov, A. Yu

AU - Yevseyevich, A. A.

PY - 1991

Y1 - 1991

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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U2 - 10.1088/0264-9381/8/10/009

DO - 10.1088/0264-9381/8/10/009

M3 - Article

AN - SCOPUS:33747167937

VL - 8

SP - 1833

EP - 1846

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 10

M1 - 009

ER -