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M.V.Lomonosov Moscow State University
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Calculation of electron motion in a symmetrical helical-beam gun

Calculation of electron motion in a symmetrical helical-beam gun

B.A. Volodin, R.M. Islamov, and A.M. Khapaev

Moscow University Physics Bulletin 1975. 30. N 6. P. 32

A solution algorithm is selected and certain problems of analysis of a spheri­ cally symmetrical electron gun for use in experimental setups to produce stimu­ lated emission are discussed.

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A study of linear systems with many delays by the root-locus method

A study of linear systems with many delays by the root-locus method

G.A. Bendrikov and V.V. Volkov

Moscow University Physics Bulletin 1975. 30. N 6. P. 36

Рассмотрены общие свойства корневого годографа трансцендентного характеристического уравнения.Пользуясь этими свойствами, можно путем изменения расположения начальных и предельных точек и асимптотики траекторий корней существенно влиять на динамику сложных систем с запаздыванием. Получено аналитическое уравнение траекторий корней, позволяющее эффективно использовать ЦВМ для анализа и синтеза таких систем.

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Approximation of weakly nonlinear discrete structures

Approximation of weakly nonlinear discrete structures

A.V. Egor'ichev, A.S. Prudnikov, and К.V. Chernyshev

Moscow University Physics Bulletin 1975. 30. N 6. P. 42

A particular case of the theory of waves in discrete structures is examined: waves in weakly inhomogeneous one-dimensional discrete structures. An approxi­ mate representation is found for the product of a finite number of matrices, which gives a formally simple description of wave processes in structures of this type. Specific examples are used to compare calculations made by the exact and approximate formulas.

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On the directivity of three-phonon interactions

On the directivity of three-phonon interactions

L.K. Zarembo and К.M. Ivanova - Shits

Moscow University Physics Bulletin 1975. 30. N 6. P. 49

The quantum-mechanical conceptions of the phonon gas are applied for analysis of the three-phonon interaction. It is shown that the directivity of the processes in this interaction depends on the occupation numbers of the phonon branches and is determined by the tendency of the system to maximum entropy. At equilibrium, the energy is, in the general case, distributed nonuniformly among the branches, indicating that three-phonon interactions are insufficient to establish complete thermodynamic equilibrjum. Cases of "coalescence" and decay of phonons are an­ alyzed.

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Use of the lorenz self-action-force method to solve certain problems in classical radiation theory

Use of the lorenz self-action-force method to solve certain problems in classical radiation theory

A.B. Kukanov and A.V. Konstantinovich

Moscow University Physics Bulletin 1975. 30. N 6. P. 53

The problem of the radiation of a relativistic electron in an electric undulator in the presence of a transparent isotropic ferrodielectric is solved.The angular energy distribution of the radiation is found and analyzed.

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Anomalous hall effect in disordered alloys at high temperatures

Anomalous hall effect in disordered alloys at high temperatures

A.B. Granovskii

Moscow University Physics Bulletin 1975. 30. N 6. P. 57

The coherent-potential approximation is used to calculate the anomalous Hall ef­ fect (AHE) of a disorde ed alloy in scattering of magnetized conduction-band electrons by an "impurity" scattering potential and the scattering potential related to the thermal vibrations of the lattice. At temperatures above the Debye temperature, the AHE constant can be represented as a linear-quadratic function of temperature. The calculated results are compared with experimental data.

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Electron bremsstrahlung on nuclei in strong magnetic fields

Electron bremsstrahlung on nuclei in strong magnetic fields

Yu.M. Loskutov and V.V. Skobelev

Moscow University Physics Bulletin 1975. 30. N 6. P. 65

Electron bremsstrahlung on nuclei in a strong constant and homogeneous magnetic field is investigated. A formula is obtained for the spectral and angular dis­ tribution of the radiation with consideration of its polarization.

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Approximate calculation of the electron spatial distribution function in an electron-photon shower without consideration of ionization losses

Approximate calculation of the electron spatial distribution function in an electron-photon shower without consideration of ionization losses

A.K. Bakhtadze

Moscow University Physics Bulletin 1975. 30. N 6. P. 69

An approximate expression is found for the spatial distribution of the electrons and the number of particles in a circle of radius R with energy greater than E in a shower triggered by an electron or photon with an energy E_0, with the condition Е/Е(0)≪1 in the Landau approximation without consideration of ionization losses.

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On the possibility of determination of the electron energy distribution function in a plasma from the spectral line intensities

On the possibility of determination of the electron energy distribution function in a plasma from the spectral line intensities

L.M. Volkova, A.M. Devyatov, E. A. Kral'kina, and S.F. Shushurin

Moscow University Physics Bulletin 1975. 30. N 6. P. 76

The results of solution of model problems to determine the electron energy dis­ tribution from the spectral-line intensities are set forth. The accuracy with which the solution is reconstructed is analyzed as a function of the errors of the initial data.

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The change in the optical density of thin titanium dioxide films under bombardment by low-energy ions

The change in the optical density of thin titanium dioxide films under bombardment by low-energy ions

A.I. Akishin, S.K. Guzhova, and V.I. Titov

Moscow University Physics Bulletin 1975. 30. N 6. P. 80
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