On an abstract integro-differential problem

In an arbitrary Banach space we consider the Cauchy problem for an integro-differential equation with unbounded operator coefficients. We establish the solvability of the problem in the weight spaces of integrable functions under certain conditions on the data. To prove this, the solution of the problem is written in explicit form with the help of analytic semigroups generated by fractional powers of the operator coefficients. Here an important role is played by the conditions on the coefficients ensuring the coercive estimates of the corresponding integral operators. Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 887–896, December, 1999.     

Structure and ultraviolet photoluminescence of 3C-SiC films grown on Si(111)

The structure and light-emitting properties of nanocrystalline cubic silicon carbide films prepared by chemical conversion from hexane vapors are discussed. The morphology, the composition, and the crystallographic structure of the grown silicon carbide thick films are thoroughly analyzed using X-ray diffraction, electron diffraction, white light interferometry, and scanning probe and transmission electron microscopies. The excitation with the use of the third harmonic of a femtosecond laser (λ_excit = 266 nm) makes it possible for the first time to reveal the luminescence line lying in the deep UV region with the wavelength λ = 340 nm in addition to the usually observed lines in the high-temperature photoluminescence spectrum. The nature of the lines observed in the photoluminescence spectrum is discussed.     

Relation between the intensity of ir absorption bands of stretching vibrations of nitrogroups and their number in aromatic nitrocompounds

Yaroslavl' State University, 9 Matrosov Ave., Yaroslavl', 150023, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 62, No. 6, pp. 30–37, November–December, 1995.     

Mathematical Modeling of the Au-Doping Effect on the Radiative Properties of Porous Polymers in Experiments with Laser and Heavy-Ion Beams

We present results of a theoretical study of the radiative opacity characteristics of plasmas produced by indirect heating of porous carbohydrate (CHO) substances (foams) by laser pulses. The plasma targets are created for further interaction with heavy-ion beams. We consider two different foam substances, namely, cellulose triacetate (TAC, C₁₂H₁₆O₈) and TAC with a small admixture of gold. We discuss important features of the theoretical model, known as the ion model (IM) of plasma, which is used to study the radiative opacity characteristics of complex plasma compositions. Also we study the influence of a small admixture of gold on the radiative opacity characteristics and gas-dynamic processes in the plasma.     

The wave logic of consciousness: A hypothesis

A physical model is proposed for volitional decision making. It is postulated that consciousness reducesdoubt states of the brain into labels by a quantum-mechanical measurement act offree choice. Elementary doubt states illustrate analogical encodement of information having insufficient resolution from a classical viewpoint. Measures ofcertitude (inner conviction) and doubt are formulated. Adequate propositions for nonclassical statements, e.g., Hamlet's soliloquy, are constructed. A role is proposed for the superposition principle in imagination and creativity. Experimental predictions are offered for positive and negative interference of doubts. Necessary criteria are made explicit for doubting sense information.Wholeness of perception is illustrated using irreducible, unitary representations ofn-valued logics. The interpreted formalism includes nonclassical features of doubt, e.g., scalor representations for imprecise propositions and state changes due to self-reflection. The liar paradox is resolved. An internal origin is suggested for spinor dichotomies, e.g., true-false and good-bad, analogous to particle production.Translated by Valentin Turchin, with editorial assistance by Eddie Oshins; abstract supplied by Eddie Oshins.     

Low-temperature absorption centers in some simple glasses

At the temperature of liquid nitrogen, glasses were irradiated with Co⁶⁰ radiation and the induced absorption spectra were measured. A strong increase in the 640 nm band was observed in sodium silicate and unleached sodium borosilicate glasses; a new band at 820 nm appeared in potassium silicate glass; and the intensity of the band at 240 nm increased in sodium borate glass and in unleached sodium borosilicate glasses.In conclusion, the authors express their gratitude to N. Z. Andreeva for her assistance in the measurements.