A certain model of formation of a fractal dimensionality in the Schroedinger problem
A certain model of formation of a fractal dimensionality in the Schroedinger problem
V.L. Bonch-Bruevich
The types of solutions which form in a one-dimensional nonlinear problem about interaction between electrons and acoustical phonons are investigated. Conditions at which the multitude of solutions ia found to be fractal are indicated.
Show AbstractIncreasing the resolution of diffusion-type devices
Increasing the resolution of diffusion-type devices
S.S. Zadorozhnyi, A.A. Kozlov, Yu.P. Pyt'ev
The problem of increasing the resolution of diffusion type devices is examined on an example of a pO$_2$ sensor - a meter for measuring the partial oxygen pressure used in biological investigations. A concept of resolution of the measurement device and the measurement-computer complex is formulated. A mathematical model of the pO$_2$ sensor is built. The problem of reducing the data acquired on the output of the sensor to a form which it would have on the output of a device with higher resolution is solved.
Show AbstractOne problem of structural diagnostics
One problem of structural diagnostics
V.B. Glasko, A.Yu. Gubar, E.V. Fedotov
A one-dimensional model of the problem about determining the structural characteristics of a medium using an ultrasonic probing method is examined. The question about the uniqueness of solution of the problem is investigated. Asymptotic analysis is used to establish which types of characteristics of the structure may be acquired by the cited method in the high frequency range with an assigned experimental precision.
Show AbstractCoulomb break-up of an antideuteron atom
Coulomb break-up of an antideuteron atom
D.E. Kharzeev, A.A. Khrapov
The break-up of an antideuteron in a Coulomb nuclear field, which results in escape of an antineutron and the formation of an antiproton atom, is examined. In calculating the probability of Coulomb break-up, all of the orbits of the antiproton were considered, including even the noncircular orbits. A convolution type optical potential is built to describe the competing process of absorption of the antideuteron by the nucleus. It is discovered that the Coulomb break-up dominates over strong absorption for nuclei with any values of Z.
Show AbstractLimitation on the vertex constant in a dispersion approach and the radius of the nonperipheral part of interaction
Limitation on the vertex constant in a dispersion approach and the radius of the nonperipheral part of interaction
A.N. Safronov
A new limitation on the vertex constant, which may be used for extracting information about the radius of the nonperipheral part of interact ion, is acquired on the basis of a dispersion approach. The method id used for analyzing the $s$-wave $nd$-scattering in a doublet state.
Show AbstractThe effect of the anomalous magnetic moment of a neutron on beta-decay in an electromagnetic wave field
The effect of the anomalous magnetic moment of a neutron on beta-decay in an electromagnetic wave field
I.M. Ternov, O.S. Pavlova, V.N. Rodionov, A.E. Lobanov, O.F. Dorofeev
The effect of an electromagnetic wave on the initial state of a neutron during beta-decay is examined on the basis of the use of precise solutions of movement equations of neutral particles caused by magnetic moment. A relativistic calculation is performed of the probability of the process, and the contribution caused by the anomalous magnetic moment of the neutron is identified.
Show AbstractA combined surface wave relativistic generator
A combined surface wave relativistic generator
N.A. Garutsa, V.I. Kanavets, A.I. Slepkov
The nature of energy exchange between a stream and a field in a surface wave generator is theoretically investigated in a high current relativistic electron stream with an electron energy of $\varepsilon_{0}=1$ MeV. It is shown that in systems which consist of sectors of smooth waveguides with periodic heterogeneities and transverse dimensions much greater than the working wavelength with the use of interaction between the stream and a field with a lower axially symmetrical mode at frequencies near the boundary of the transparency band it is possible to acquire an effect of cyclotron power amplification and an electron efficiency of interaction greater than 40%.
Show AbstractThe effect of mode locking on interaction between counter propagating waves in a solid-state ring laser
The effect of mode locking on interaction between counter propagating waves in a solid-state ring laser
E.L. Klochan, E.G. Lariontsev
A system of equations is acquired for the parameters of ultrashort light pulses (USP) in a solid-state ring laser with active mode locking which considers the interaction of counter propagating USP due to inverse reflections in a modulator. The mode of capture of the frequencies of the counter propagating waves is investigated. It is shown that with specific phases of scattering coefficients on the faces of the modulator and with specific modulator lengths, it is possible to eliminate suppression of the counter propagating waves which form with an increase in the misalignment of the modulation frequency relative to its optimal value.
Show AbstractCoherent effects in saturation spectroscopy
Coherent effects in saturation spectroscopy
S.Yu. Nikitin
A method from the perturbation theory is used to investigate coherent effects in saturation spectroscopy of combinationally active transitions associated with perturbation of the populations of quantum levels under the effects of weak probing waves.
Show AbstractDiffraction theory of a multibeam interferometer
Diffraction theory of a multibeam interferometer
A.V. Belinskii, A.S. Chirkin
Multibeam interferometers are widely used in optical spectroscopy and quantum electronics. However, in examining the properties, their mirrors are assumed to be infinite, as a rule. In this work a theory of multibeam interferometers is developed with consideration of the phenomenon of diffraction, where a modal approach is used. An expression is found for the mode transmission coefficient. The developed theory makes it possible to evaluate the effect of finite dimensions of the mirrors of the interferometer and the illuminating beam on the effectiveness of transformation of the latter.
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