Abstract
The exact solution of the Corben–Schwinger equations is obtained for spin-1 particles without an anomalous magnetic moment in a uniform magnetic field. The exact Hamiltonian in the Foldy–Wouthuysen representation is derived. The conservation of projections of the polarization operator onto four directions is proved. The approximate conservation of projections of this operator onto the horizontal axes of the cylindrical coordinate system is established. For spin-1 particles with the anomalous magnetic moment, the Hamiltonian in the Foldy–Wouthuysen representation is deduced within first order terms in the Planck constant. Dynamics of spin-1 particles with the anomalous magnetic moment and their spins in the strong uniform magnetic field are calculated.
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References
A.A. Sokolov, I.M. Ternov, Radiation from Relativistic Electrons (Am. Inst. Phys., New York, 1986)
V.N. Baier, V.M. Katkov, V.S. Fadin, Radiation from Relativistic Electrons (Atomizdat, Moscow, 1973) (in Russian)
A.J. Silenko, Czech. J. Phys. 51, 219–222 (2001)
H.C. Corben, J. Schwinger, Phys. Rev. 58, 953–968 (1940)
L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29–36 (1950)
S. Weinberg, in Lectures on Elementary Particles and Quantum Field Theory, ed. by S. Deser, M. Grisaru, H. Pendleton (MIT Press, Cambridge, 1970)
I.B. Khriplovich, Z. Eksp. Teor. Fiz. 96, 385–390 (1989). Sov. Phys. J. Exp. Theor. Phys. 69, 217–219 (1989)
S. Ferrara, M. Porrati, V.L. Telegdi, Phys. Rev. D 46, 3529–3537 (1992)
A. Proca, C.R. Acad. Sci. Paris 202, 1490–1492 (1936)
M. Taketani, S. Sakata, Proc. Phys. Math. Soc. Jpn. 22, 757–770 (1940)
M. Taketani, S. Sakata, Progr. Theor. Phys. Suppl. 1, 84–97 (1955)
J.A. Young, S.A. Bludman, Phys. Rev. 131, 2326–2334 (1963)
J.P. Costella, B.H.J. McKellar, Am. J. Phys. 63, 1119–1121 (1995)
A.J. Silenko, J. Math. Phys. 44, 2952–2966 (2003)
A.J. Silenko, Phys. Rev. A 77, 012116 (2008)
K.M. Case, Phys. Rev. 95, 1323–1328 (1954)
A.J. Silenko, Z. Eksp. Teor. Fiz. 114, 1153–1161 (1998). J. Exp. Theor. Phys. 87, 629–633 (1998)
A.J. Silenko, Z. Eksp. Teor. Fiz. 114, 448–457 (1998). J. Exp. Theor. Phys. 87, 246–250 (1998)
A.J. Silenko, Z. Eksp. Teor. Fiz. 123, 883–890 (2003). J. Exp. Theor. Phys. 96, 775–781 (1998)
A.J. Silenko, arXiv:hep-th/0404074