Integrals of the motion for an electron in a quantized plane electromagnetic wave

The structure of the integrals of motion of an electron moving in a plane quantized electromagnetic wave is discussed, using the general solution of the integrals of motion of a system whose Hamiltonian is a quadratic form of creation and annihilation operators with constant coefficients.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 116–121, February, 1977.     

Induced radiation of an electron in a plane wave in a magnetic field

This paper discusses the induced radiation of electrons in the field of a plane electromagnetic wave propagating along the intensity vector of a uniform magnetic field. Expressions are obtained for the power and frequencies of the radiation. The role of the polarization of the plane wave in the radiation process and the effect of the magnetic field present on the induced radiation in the field of a plane wave are investigated. Several specific cases are discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 49–55, April, 1979.     

Induced emission of neutral fermions moving in a plane wave

The induced emission of neutral fermions having an anomalous magnetic moment and moving in an intense electromagnetic wave under the influence of a second, less intense, electromagnetic wave is analyzed. In this situation the particles may acquire a predominant spin orientation.Translated from Izvesttya VUZ. Fizika, No. 8, pp. 50–53, August, 1970.The authors thank Professor I. M. Ternov for interest in this study.     

Elastic scattering amplitude of a polarized electron in an arbitrary plane wave field

The elastic scattering amplitude of a polarized electron in an arbitrary plane wave electromagnetic field is obtained by using the method of dispersion relations. Superposition of a constant crossed field and a plane monochromatic wave of elliptic polarization is considered a particular case of giving the field. An anomalous magnetic moment is obtained for the electron in the mentioned field as are also relative contributions to the anomalous magnetic moment due to the transition into the intermediate state with and without spin turnover.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 69–75, October, 1990.     

Resonance bremsstrahlung of an electron by a nucleus in the field of a plane electromagnetic wave

The resonance behavior of the brems Strahlung of an electron by a nucleus in the field of a plane electromagnetic wave is investigated. The differential cross section of the process in the resonance region is calculated.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 12–17, March, 1980.The authors express their gratitude to A. A. Sokolov for his attention to this research.     

Green's electron function in a quantized plane wave field

It is shown that the Green's function of an electron that interacts with a quantized plane wave can be expressed in terms of the corresponding Green's function of a scalar particle. By using the known expression for the Green's function of a scalar particle, an integral representation is found with respect to the intrinsic time for the Green's electron function in a quantized plane wave of arbitrary form.     

Bremsstrahlung of a neutral fermi particle in the field of a plane electromagnetic wave

The bremsstrahlung is considered from a neutral Fermi particle with anomalous magnetic and electric moments in the field of a screened Coulomb center and in the presence of a plane electromagnetic wave. The effect of the wave polarization on the scattering cross section and the behavior of the particle spin during the scattering process are considered. Cross sections are given for scattering of a particle at a Coulomb center in the presence of constant, crossed electric and magnetic fields which are equal in magnitude and also for a free particle. It is shown that the effect of the anomalous electric moment is often decisive.     

Influence of induced processes on the spin dynamics of an electron moving in a plane wave

Electron-spin behavior during stimulated radiation and absorption in a plane wave field is analyzed in this paper. It is shown that even when there is no preferred spin orientation on the whole as t, a preferred orientation exists at some finite time. The greatest possible degree of preferred orientation and the time at which it is achieved are found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 65–70, October, 1982.The authors are quite grateful to Prof. I. M. Ternov for constant interest in the research and to Prof. Yu. M. Loskutov for stimulating discussions.     

Influence of the vacuum magnetic moment on the induced radiation of an electron in a plane wave

Expressions are obtained for the probability and intensity of induced radiation from an electron with a vacuum magnetic moment moving in a plane electromagnetic wave of small amplitude. The wave is supposed to be monochromatic and to have random polarization. The results of previous publications on this subject [4–6] are included here as special cases.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 51–54, August, 1972.     

The effect of a strong radiation field on an electron moving in a plane electromagnetic wave

The paper considers the action of an external radiation field with arbitrary spectral composition on an electron moving in the field of a monochromatic plane electromagnetic wave (the first wave). The problem is studied of the change in the average energy of a relativistic electron as a result of its interaction with the radiation field. Conditions are found under which the acceleration of the electron by the external field is compensated by the energy loss due to natural radiation.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 7–16, January, 1973.     

Influence of quantum fluctuations on the motion of an electron in the field of a plane electromagnetic wave

The influence of radiation on the change in the energy, the longitudinal component of the momentum, and the shape of the orbit of an electron in the field of a wave is investigated. A comparison with the analogous quantities in the limiting case of high strength of a high-frequency electromagnetic field is made.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 95–97, February, 1991.     

Motion and radiation of an electron exhibiting a vacuum magnetic moment in the field of a plane electromagnetic wave

A study is made of the motion of an electron exhibiting an anomalous magnetic moment and moving in the field of a plane circularly polarized electromagnetic wave. An exact solution is found to the generalized Dirac equation and is utilized to study the emission of electromagnetic radiation from the electron (the Compton effect). It is shown that allowance for the anomalous magnetic moment of the electron leads to: a frequency shift, a change in the total radiated power, polarization of the radiation, and to spin effects.     

Compact (correlated) coherent states of an electron moving in the field of a plane electromagnetic wave

Compact coherent states of the relativistic electron which satisfy the conditions of completeness and orthogonality are constructed in the field of a plane electromagnetic wave. The physical sense of the quantum parameters introduced is defined, as well as their connection with the indeterminacy of coordinates and momentum. The breakdown of the coherent state is found with respect to all possible states which correspond to various classical trajectories of a particle, and the association of the derived results with Volkov's solutions is established. Tomsk Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 45–49, February, 1993.     

Photon fusion in the process of interaction of a quantized plane electromagnetic wave with an electron. I

The first part of this work is devoted to studying the fusion of photons of a quantized plane electromagnetic wave on an electron. The foundation for the method of treating the problem is given. A general expression for the differential probability of the process of the fusion of photons on an unpolarized electron is found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 89–94, January, 1977.     

Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave

The physical and mathematical features of exact solutions of the problem of an electron moving in the field of a quantized, plane electromagnetic wave [1–4] are investigated. In particular, the problem of constructing solutions for all values of the total energy of the system is solved. A new interpretation is given to the limiting approach to Volkov solutions [5, 6]. The completeness and orthogonality of the solutions are proven in the reference plane formalism. The notation of [4] is used in this paper.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 7–14, March, 1977.     

Coalescence of photons in the interaction process between a quantized plane electromagnetic wave and an electron. II

In this part of the article the coalescence of photons of a quantized plane electromagnetic wave on an electron is considered. The coalescence into one of two photons with parallel impulses and different frequencies of a non-polarized electron is analyzed. The kinematics of the process is studied in detail. The differential and complete sections of the process are obtained and analyzed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 57–61, February, 1977.In conclusion the author would like to express his thanks to V. G. Bagrov and D. M. Gitman for a useful discussion of the problems raised in this article.     

An electron in a quantized plane wave and in a constant magnetic field

The Dirac equation is considered for an electron in a constant homogeneous magnetic field and in a quantized electromagnetic plane wave propagating along the direction of the former. This problem is shown to be reduced to the Schrödinger equation for a system of many interacting oscillators. The corresponding Hamiltonian is diagonalized. An equation is established relating the total energy with the moment of a system along the magnetic field. Approximate solutions of this equation are given. A behaviour of a system close to cyclotron resonance is discussed.