518 research outputs found
ΠΠ΅ΠΊΠΎΡΠΎΡΡΠ΅ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π° (Π£Π’Π)
Main principles of the universal theory of space are in detail stated: a principle of fractal similarity, a principle of an absolute coordination (coherence) and a principle of presence of base constants.ΠΠΎΠ΄ΡΠΎΠ±Π½ΠΎ ΠΈΠ·Π»ΠΎΠΆΠ΅Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π°: ΠΏΡΠΈΠ½ΡΠΈΠΏ ΡΡΠ°ΠΊΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄ΠΎΠ±ΠΈΡ, ΠΏΡΠΈΠ½ΡΠΈΠΏ Π°Π±ΡΠΎΠ»ΡΡΠ½ΠΎΠΉ ΡΠΎΠ³Π»Π°ΡΠΎΠ²Π°Π½Π½ΠΎΡΡΠΈ (ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΡΡΠΈ) ΠΈ ΠΏΡΠΈΠ½ΡΠΈΠΏ Π½Π°Π»ΠΈΡΠΈΡ Π±Π°Π·ΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΡΠ°Π½Ρ
ΠΠΎΠ½ΡΠ΅ΠΏΡΠΈΡ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΠΈ Π³ΠΈΠΏΠ΅ΡΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ½ΡΡ Π±ΠΈΠΎΡΠΈΡΡΠ΅ΠΌ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ ΡΠΈΠΏΠ°
Effects of correction of biosystems, including a human body, by formation of a steady resonance between the active centers of a biological organism are considered.Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ ΡΡΡΠ΅ΠΊΡΡ ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠΈ Π±ΠΈΠΎΡΠΈΡΡΠ΅ΠΌ, Π²ΠΊΠ»ΡΡΠ°Ρ ΠΎΡΠ³Π°Π½ΠΈΠ·ΠΌ ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ°, ΠΏΡΡΠ΅ΠΌ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΠ³ΠΎ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ° ΠΌΠ΅ΠΆΠ΄Ρ Π°ΠΊΡΠΈΠ²Π½ΡΠΌΠΈ ΡΠ΅Π½ΡΡΠ°ΠΌΠΈ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΡΠ³Π°Π½ΠΈΠ·ΠΌΠ°
ΠΠ΅ΠΊΠΎΡΠΎΡΡΠ΅ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π° (Π£Π’Π)
Main principles of the universal theory of space are in detail stated: a principle of fractal similarity, a principle of an absolute coordination (coherence) and a principle of presence of base constants.ΠΠΎΠ΄ΡΠΎΠ±Π½ΠΎ ΠΈΠ·Π»ΠΎΠΆΠ΅Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π°: ΠΏΡΠΈΠ½ΡΠΈΠΏ ΡΡΠ°ΠΊΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄ΠΎΠ±ΠΈΡ, ΠΏΡΠΈΠ½ΡΠΈΠΏ Π°Π±ΡΠΎΠ»ΡΡΠ½ΠΎΠΉ ΡΠΎΠ³Π»Π°ΡΠΎΠ²Π°Π½Π½ΠΎΡΡΠΈ (ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΡΡΠΈ) ΠΈ ΠΏΡΠΈΠ½ΡΠΈΠΏ Π½Π°Π»ΠΈΡΠΈΡ Π±Π°Π·ΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΡΠ°Π½Ρ
Inverse medium problem for a singular contrast
We consider an inverse medium problem in two- and three-dimensional cases. Namely, we investigate the problem of reconstruction of unknown compactly supported refractive index (contrast) from L-2 with a fixed positive wave number. The proof is based on the new estimates for the Green-Faddeev function in L-infinity space. The main goal of this work is to prove a uniqueness result in the two- and three-dimensional cases and to discuss some possible constructive methods for solving the problem. Finally, we present some numerical examples to demonstrate the results in two dimensions. Published under license by AIP Publishing.Peer reviewe
Wave packet evolution approach to ionization of hydrogen molecular ion by fast electrons
The multiply differential cross section of the ionization of hydrogen
molecular ion by fast electron impact is calculated by a direct approach, which
involves the reduction of the initial 6D Schr\"{o}dinger equation to a 3D
evolution problem followed by the modeling of the wave packet dynamics. This
approach avoids the use of stationary Coulomb two-centre functions of the
continuous spectrum of the ejected electron which demands cumbersome
calculations. The results obtained, after verification of the procedure in the
case atomic hydrogen, reveal interesting mechanisms in the case of small
scattering angles.Comment: 7 pages, 8 Postscript figure
Topological Coherent Modes for Nonlinear Schr\"odinger Equation
Nonlinear Schr\"odinger equation, complemented by a confining potential,
possesses a discrete set of stationary solutions. These are called coherent
modes, since the nonlinear Schr\"odinger equation describes coherent states.
Such modes are also named topological because the solutions corresponding to
different spectral levels have principally different spatial dependences. The
theory of resonant excitation of these topological coherent modes is presented.
The method of multiscale averaging is employed in deriving the evolution
equations for resonant guiding centers. A rigorous qualitative analysis for
these nonlinear differential equations is given. Temporal behaviour of
fractional populations is illustrated by numerical solutions.Comment: 14 pages, Latex, no figure
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