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On the theory of hopping conductivity of quasi-one-dimensional disordered systems

On the theory of hopping conductivity of quasi-one-dimensional disordered systems

I.P. Zvyagin

Moscow University Physics Bulletin 1993. 48. N 6. P. 87

The anisotropy of hopping conductivity of quasi-one-dimensional systems related to the convoluted shape of optimal carrier paths is considered. It is demonstrated that for systems described in the framework of the R-percolation model the specific features of the carrier path shape do not lead to exponential anisotropy of the conductivity.

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Памяти Андрея Николаевича Тихонова

Памяти Андрея Николаевича Тихонова

В.Ф. Бутузов, А.Б. Васильева, В.Б. Гласко, В.И. Иванов, А.В. Лукьянов, А.Г. Свешников, В.И. Трухин, А.Г. Ягола.

Moscow University Physics Bulletin 1993. N 5.

7 октября 1993 г. скончался величайший российский ученый, один из самых знаменитых математиков двадцатого столетия, академик РАН Андрей Николаевич Тихонов.

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Chaos and destochastization in a two-dimensional network of coupled quadratic mappings

Chaos and destochastization in a two-dimensional network of coupled quadratic mappings

A.Yu. Loskutov, G.E. Thomas

Moscow University Physics Bulletin 1993. 48. N 5. P. 1

This paper considers a two-dimensional network of quadratic mappings with diffusive and parametric interaction between the elements and its approximate model, which consists of a single (selected) element of the network and a fluctuating medium. It is shown that certain effects of the fluctuating medium can result in destochastization, i.e., suppression of chaos in the selected element. The upper threshold is found for diffusion at which this phenomenon is still retained.

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On states with minimum indeterminacy

On states with minimum indeterminacy

A.A. Kulaga

Moscow University Physics Bulletin 1993. 48. N 5. P. 9

Various approaches to the determination of states with minimum indeterminacy are analyzed. An equation for states with minimum indeterminacy is obtained, which is more general than the earlier used ones. The suggested approach is illustrated by the indeterminacy ratio between the phase and the number of quanta for a harmonic oscillator.

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Developing fundamental constants in the six-dimensional universe

Developing fundamental constants in the six-dimensional universe

Yu.S. Vladimirov, America Peraza Alvarez

Moscow University Physics Bulletin 1993. 48. N 5. P. 13

Within the framework of the six-dimensional geometrical theory of gravi-electroweak interactions, the possible variation of fundamental physical constants in developing homogeneous isotropic cosmological models is considered. In this theory the electric charges and the masses depend on time, and the cosmological shift of light spectral lines is due to two factors: the Doppler effect and the variation of fundamental constants during the time of light propagation. Because these factors strengthen each other, the age of the Universe turns out to be greater than in the standard Friedmann model.

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The method of projection operators in the NMR theory

The method of projection operators in the NMR theory

V.S. Tumanov

Moscow University Physics Bulletin 1993. 48. N 5. P. 18

A method of projection operators is suggested for calculating multipulse and multiquantum processes of nuclear magnetic resonance (NMR). The applications of the method are considered in the theory of double resonance and for the calculation of multiquantum coherence in systems with quadrupole moment and in systems with scalar spin-spin coupling.

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Relativiatic (e,2e) experiments: the eikonal approximation

Relativiatic (e,2e) experiments: the eikonal approximation

Yu.V. Popov, N.M. Kuz'mina

Moscow University Physics Bulletin 1993. 48. N 5. P. 22

Calculations of differential cross sections of (e, 2e) reactions on Cu and Ag atoms in the eikonal approximation are described for ( e, 2e) experiments that have recently been carried out in Tiibingen. It is shown that even for highenergy impinging particles the angular profile of the differential scattering cross section is sensitive to the magnitude of the mean intraatomic field. This suggests the idea of using the angular shift of the maximum of the differential scattering cross section in symmetric (e, 2e) experiments for direct determination of the mean intraatomic field.

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$(\gamma, \gamma’)$ experiment on the injector of a slot microtron designed at the Institute of Nuclear Physics, Moscow State University

$(\gamma, \gamma’)$ experiment on the injector of a slot microtron designed at the Institute of Nuclear Physics, Moscow State University

A.S. Alimov, I.V. Gribov, B.S. Ishkhanov, I.M. Kapitonov, I.M. Piskarev, A.S. Chepumov, 0.V. Chubarov, V.I. Shvedunov, E.V. Shirokov, A.V. Shumakov

Moscow University Physics Bulletin 1993. 48. N 5. P. 28

The first stage of a continuous-operation accelerator, the slot microtron designed at the Research Institute of Nuclear Physics, Moscow State University, was used to study the nuclear resonance fluorescence, the $(\gamma, \gamma’)$ reaction. The $^{11}В$, $^{19}F$, $^{23}Na$, $^{28}Si$, $^{32}S$, $^{39}K$, $^{63}Cu$, and $^{208}Pb$ nuclei were studied. The results are compared with data obtained on similar accelerators.

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Quantum non disturbing meazurement of the number of photons and the vacuum state energy in the scheme of quadratic electron scattering

Quantum non disturbing meazurement of the number of photons and the vacuum state energy in the scheme of quadratic electron scattering

S.P. Vyatchanin, A.B. Matsko

Moscow University Physics Bulletin 1993. 48. N 5. P. 32

The feasibility of quantum nondisturbing measurement of the photon energy and the energy of zero-point oscillations of the dielectric resonator mode is shown. The technique is based on the effect of quadratic scattering of electrons traveling along the resonator with a velocity close to the phase velocity of the wave in the resonator.

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Mathematical modeling of the electromagnetic radiation from a horn

Mathematical modeling of the electromagnetic radiation from a horn

S.I. Abgaldaev, V.P. Modenov

Moscow University Physics Bulletin 1993. 48. N 5. P. 37

An effective numerical-analysis method is proposed for determining the characteristics of radiation from an irregular horn given the distribution of surface impedance on the lateral walls and the inhomogeneous filling. Numerical results are presented, which testify that it is possible to control the electromagnetic radiation. The algorithm is based on the incomplete Galerkin method with semi-inversion in the boundary condition.

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