Central fall in the one- dimensional case
Central fall in the one- dimensional case
V.В. Gostev, I.V. Gostev, and А.R. Frenkin
Тhе fall in the ground state in а center ($Еo→-∞,ψo^2→ δ(х)$) in а one-dimensional Coulomb attraction field is not related to elevated symmetry in that field but occurs also for attraction potentials $\lambda|x|^{-\nu}, 0<\nu< 2$, although it can bе readily removed bу altering the boundary conditions, in contrast to the fall in а central field (ν≥2,λ
Zeno is quantum paradox for fini te-accuracy measurements
Zeno is quantum paradox for fini te-accuracy measurements
F.Уа. Khalili
A study has been made on how continuous measurement affects the behavior of a two-level quantum system whose free evolution is characterized by oscillations between levels. As the measurement accuracy increases, the oscillation frequency decreases, and at a certain accuracy, the oscillations are replaced by aperiodic transition to the equilibrium state. The transition time-constant increases with the accuracy. If the system is tracked with absolute accuracy, it is frozen in the initial level.
Show AbstractА maximum- reliability method in model choice
А maximum- reliability method in model choice
Yu.Р. Pyt'ev and М.L. Serdobol'skaya
А new model choice method is proposed together with а method of best testing; а numerical analysis is performed in relation to determining an unknown model parameter.
Show AbstractRecurrent relations for covariant derivatives of bilocal functions in a Riemann manifold
Recurrent relations for covariant derivatives of bilocal functions in a Riemann manifold
A.Ya. Rodinov and A.Yu. Taranov
The current relations are derived for the multiple covariant derivatives of bilocal functions in а Riernann rnanifold; the geodesic interval and the parallel- translation operator are considered, and the derivatives of the van Vleck deterrninant up to the fifth order inclusive have been calculated.
Show AbstractConstructing short - wave asymptotes Ьу successive diagonalization
Constructing short - wave asymptotes Ьу successive diagonalization
Yu.G. Pavlenko, Yu.А. Afinogenov, and S.I. Zelenskii
Hamiltonian special-function theory is applied in an algorithm for constructing higher WCB approximations. Successive diagonalizations are applied to the Hamiltonian that generates the wave equation, where each stage involves an exact transformation for the initial equations.
Show AbstractThermodynamics of the criticalу ϒ↔ α transitioh in cerium
Thermodynamics of the criticalу ϒ↔ α transitioh in cerium
I.Р. Bazarov, Е.D. Soldatova, and М.V. Mazharov
Тhе properties of cerium near the critical point are considered in terms of one- component system thermodynamics; а thermal equation of state containing Р, V, and Т has been derived. Тhе equilibri um line terminates at the critical point. Тhе critical parameters have been calculated:$\alpha = 0, \gamma=1, \beta = 1/2, \delta = 3$.
Show AbstractThe scope for observing parity nonconservation in electroweak electron interactions
The scope for observing parity nonconservation in electroweak electron interactions
V.S. Zamiralov, B.S. Ishkhanov, and V.I. Mokeev
A study has been made on the scope for observing parity nonconservation in elastic polarized-electron scattering by nuclei at E < 1 GeV. It is shown that electron accelerators under design should allow one to observe the asymmetry in such scattering due to weak lepton-hadron interaction.
Show AbstractSokol satellite primary cosmic -ray high-energy particles
Sokol satellite primary cosmic -ray high-energy particles
N.L. Grigorov, I.P. Ivanenko, I.D. Rapoport, V.Ya. Shestoperov, Yu.V. Basina, P.V. Vakulov, R.M. Golynskaya, Yu.P. Gordeev, L.B. Grigor'eva, D.A. Zhuravlev, I.P. Kumpan, L.G. Mishchenko, L.P. Papina, V.V. Platonov, D.M. Podorozhnyi, G.A. Samsonov, L.G. Smolenskii, V.A. Sobinyakov, V.K. Sokolov, Yu.V. Trigubov, I.M. Fateeva , A.N. Fedorov, L.A. Khein, L.O. Chikova, V.Ya. Shiryaeva, B.M. Yakovlev, and I.V. Yashin
Charge spectra have been recorded with satisfactory resolution at energies over. l TeV bу an apparatus containing two sectional Cherenkov charge detectors and а sectional ionization calorimeter providing about 5.5 proton interaction ranges; it has been used with the Cosmos satellites in 1984- 1986. Evidence has been found for а minor effect from the reverse secondary- particle current from the calorimeter in the charge measurements (at energies of several TeV).
Show AbstractAcoustooptic interaction in an anisotropic medium in two-frequency diffraction
Acoustooptic interaction in an anisotropic medium in two-frequency diffraction
V.В. Voloshinov, V.N. Parygin, and В. Traore
Anisotropic diffraction is considered for two acoustic waves differing in frequency propagating in the sarne direction in а crystal. The Bragg- peak intensities have been calculated as functions of arnplitude and frequency. The two- frequency state can thus bе used to exarnine anisotropic diffraction in acoustooptic devices.
Show AbstractSimulating nonlinear optical processes in organic complexes
Simulating nonlinear optical processes in organic complexes
А.А. Demidov
Monte Carlo methods have been applied to nonlinear optical processes in organic complexes of phycobilosome type; the nonlinearities are governed Ьу single- singlet annihilation and absorption saturation. The annihilation parameters are time- dependent, and mean values have been calculated.
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