Synchrotron radiation of a magnetic moment in classical electrodynamics

It is established that the quantum correction (8/3) ₀ ² to the synchrotron radiation power has a classical origin and is related to the radiation of the intrinsic magnetic moment. The properties of the synchrotron radiation of the intrinsic magnetic moment are considered. It is shown that the spin relaxation time in classical electrodynamics practically coincides with the corresponding expression in quantum theory.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 3–7, February, 1982.     

Floating orbit method in the theory of synchrotron radiation

The effect of betatron oscillations in weakly focusing accelerators on the polarization-angular distribution and spectrum of synchrotron radiation is considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 59–65, June, 1976.The authors take this occasion to thank Prof. V. G. Bagrov for his interest in the work.     

Spin dynamics in orthogonal fields

The technique of Lorentz transformations is used to obtain exact solutions of the classical vector and tensor equations of motion of a spin in constant homogeneous and orthogonal fields (E < H). It is shown that the vector and tensor variants of the solutions go over into one another uniquely. The invariants of the motion are written down explicitly. The results of the paper agree with the quantum theory of the motion of a spin.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 44–48, January, 1981.     

To the substantiation of the radiation damping force

The differential law of conservation of energy-momentum density for an arbitrary moving relativistic charge is formulated in the most general form. Based on it, the radiation damping force is derived for two neighboring moments of proper time by integration over the closed hypersurface surrounding the world line of the point charge. The calculations performed elucidate the origin of the dynamic and static electromagnetic masses. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 72–78, June, 2006.     

Radiation from a charge in nonuniform orthogonal electromagnetic fields

It is shown by the methods of classical electrodynamics that, with defined conditions in arbitrary nonuniform fields, depending on two Cartesian coordinates, harmonic motion of a charge can be achieved over a plane trajectory. The radiation from the charge has specific singularities, which are conditioned by the magnitude and nature of the nonuniformity of external fields in the region of the trajectory.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 16, No. 7, pp. 101–107, July, 1973.     

Rectilinear motion of a charged magneton in electromagnetic fields

Uniform and rectilinear motion of a classical spin particle, a charged magneton, is considered in external electromagnetic fields of special type. The equations of motion are solved in both the vector and tensor methods of describing the spin. The rectilinear motion of a hyperbolically accelerated magneton is also considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 62–65, April, 1980.It is a pleasant duty to thank Professor V. G. Bagrov for suggesting the problem and discussing the results of the paper.     

Radiation of a relativistic magneton. III

An expression is given for the angular distribution of the change in the four-dimensional momentum of the radiation of a charged magneton in unit proper time. The expression is given for both the tensor and the vector form of expression of the intrinsic magnetic moment. A method of covariant integration of the angular distribution of the radiation in the laboratory coordinate system is developed. The results of the integration in the tensor and vector variants go over into each other exactly.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 33–38, October, 1980.