[en] A charged-particle beam can be monochromatized by a stimulated interaction with a laser beam in a wiggler. The energy spread of the beam decreases by several orders of magnitude for real parameters

[en] The stimulated interaction between charged particles and intense electromagnetic radiation in a medium with a nonstationary dielectric permeability is studied on the basis of the classical and quantum theory. As a result of real energy exchange with the external field the particles are either accelerated (inverse transition effect) or decelerated (the energy being transferred to the wave in the form of stimulated transition radiation), the choice being dependent on the initial phase. Simultaneous absorption-emission leads to inelastic diffractional scattering of the particles. Quantum modulation of the charged particle beam at the frequency of the external wave or its harmonics is also obtained. The modulation index may be close to unity even in weak laser fields

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[en] A new acceleration mechanism of nonrelativistic electrons in the presence of acoustic fields in a gas tube is considered. It is shown that acoustic fields from microcells of spatial charge with a high value of local electric fields in plasma. It is obtained that the energy of 10 keV electrons can be accelerated in one act of acceleration more than 10%. By selection of the acoustic vibration parameters, it is possible to form a chain of these cells lined up in one line that allows one to increase the integral energy of electrons by multiple times

[en] The many-photon interaction of charged particles with a strong electromagnetic field in non-stationary media is considered from the points of view of classical and quantum theories. It is shown that due to the stimulated character of the interaction the energy broadening of an initially monochromatic electron beam takes place and that taking into account the electron recoil during the stimulated absorption and radiation of quanta results in a quantum modulation of the initially homogeneous beam by the wave frequency and its harmonics

[en] Full text: (author)The elastic scattering of neutrons in crystal is considered for the first time by applying the solution of the generalized Dirac equation for neutron in the field of a plane electromagnetic wave. As well as the elastic scattering of non-relativistic neutrons in crystal is considered based on found solution of Schroedinger equation for neutron in the field of a plane electromagnetic wave. The possibility of high energy neutron Bragg diffraction is illustrated (wave length of neutrons is less than lattice parameter). The method is based on the multiphoton interaction of the neutron anomalous magnetic moment with the field of linearly polarized plane wave, which is considered exactly - Farri representation. The neutron-phonon interaction is considered to be a perturbation described by Fermi pseudopotential

[en] Full text: (author)The polarization operator of fermions with the 1/2 spin is found in the external electromagnetic fields: crossed field, plane wave field, the Redmond configuration field. The relativistic invariant solution for the Klein-Gordon and Dirac equations is adduced. The possibility of electron, positron radiation self-polarization is calculated

[en] Based on basis of the coherent states the density matrix of harmonic oscillator in thermostat is obtained. This method is mathematically refined and physically transparent for the interpretation of quantum phenomena in classical language. Such an approach gives an opportunity to easily find the density matrix in the multi-dimensional case

[en] The possibility of high-energy neutron diffraction in a crystal is shown by applying the solution of time-dependent Schroedinger equation for a neutron in the field of a standing laser wave. The scattering picture is examined within the framework of non-stationary S-matrix theory, where the neutron-laser field interaction is considered exactly and the neutron-crystal interaction is considered as a perturbation described by Fermi pseudopotential (Farri representation). The neutron-crystal interaction is elastic, and the neutron-laser field interaction has both inelastic and elastic behaviors which results in the observation of an analogous to the Kapitza-Dirac effect for neutrons. The neutron scattering probability is calculated and the analysis of the results are adduced. Both inelastic and elastic diffraction conditions are obtained and the formation of a 'sublattice' is illustrated in the process of neutron-photon-phonon elastic interaction.

[en] The diffraction of neutrons is considered in crystals under the influence of a standing sound wave. The scattering probability is calculated for the elastic neutron-crystal interaction, whereas the neutron-standing sound wave interaction can be either elastic and inelastic. The possibility of short-wave (high-energy) neutrons diffraction is illustrated. It is shown that the Debye-Waller factor can be changed and tuned. The analysis of conservation laws are adduced both for thermal and short-wave neutrons. The formation of a 'sublattice' is shown in the process of neutrons elastic diffraction with respect to standing sound wave. The analogous to the Kapitza-Dirac effect is considered for neutrons. The problem is solved within the frame of non-stationary S-matrix theory, where the neutron-phonon interaction is described by the Fermi pseudopotential, which is considered as a perturbation.