A new type of solution of the Schr\"odinger equation on a self-similar fractal potential

Scattering a quantum particle by a self-similar fractal potential on a Cantor set is investigated. We present a new type of solution of the functional equation for the transfer matrix of this potential, which was derived earlier from the Schr\"odinger equation.Comment: Latex, 4 pages, 7 eps-figures; the old figures are renewed and new ones are adde

HBHA 4705-03: A new cataclysmic variable

Results of photometric and spectroscopic studies for the new eclipsing cataclysmic variable star HBHA 4705-03 with an orbital period of 0. 1718 days are presented. Its spectrum exhibits hydrogen and helium emission lines. The Doppler maps constructed from hydrogen lines and the He II λ 4686 line show that the regions near the inner Lagrangian point are the main source of emission in these lines, while the maps constructed from He I lines suggest the presence of an accretion disk around the primary. The masses of the components (MWD = 0. 54 ± 0. 10M⊙ andMRD = 0. 45 ± 0. 05 M⊙) and the orbital inclination of the system (i = 71. 8° ± 0. 7°) have been determined from observational data using well-known relations for close binaries and cataclysmic variable stars. © 2013 Pleiades Publishing, Ltd

High-voltage pulse discharge as factor of the methanogenesis initiation

Results of scientific research on influence of the high-voltage pulse discharge on process of bioorganic waste methane sludge fermentation in agricultural production are given in the article. Powerful infra- and ultrasonic fluctuations leading to emergence of shock waves exert strong impact on processes: disinfecting, cleanings and deflocculation of bioorganic mix, as well as on activity of various physical and chemical changes of synthesis products. Selecting the modes of high-voltage pulse processing, it is possible to provide highly productive anaerobic bacteria. At the same time "artificial selection" as a result of which weak microorganisms perish is observed, and the strong group remains. Viable species of microorganisms, having received at the order nutrient medium, as a result of destruction and death of weak microorganisms, begin to breed quickly, increasing growth of a biofilm responsible for a biogas exit. For the analysis of experimental data on development of technological process for anaerobic sludge fermentation the method of trans-resonant functional topography which provided informational content of the active environment concerning ions and free radicals arising in the course of modifying the organic substratum was used.Keywords: biogas unit, anaerobic sludge fermentation, electro technology, methanogenesis,pulse discharge, bioorganic waste, water substratum, organic fertilizers, processing, ecology

Spectral and photometric studies of the polar USNO-A2.0 0825-18396733

© 2015, Pleiades Publishing, Ltd. Results of photometric and spectral studies of the new magnetic cataclysmic variable (polar) USNO-A2.0 0825-18396733 are presented. Photometric data in the B, V, and Rc filters show that this object exhibits a red excess of Rc − V = 1m. A red continuum with superposed strong single-peaked Balmer emission lines and HeII λ4686 Å emission, weak lines of neutral helium, and lines of heavy elements are observed in the object’s spectra. Doppler maps constructed using the hydrogen and ionized-helium lines indicate that these lines form near the inner Lagrangian point, and that their formation is associated with an accretion stream. The spectra and radial-velocity curves indicate the eclipse of the white dwarf in the system to be partial. Radial-velocity curves derived for emission lines are used to estimate the component masses. The mass of the white dwarf is estimated to be 0.71–0.78M⊙, and the mass of the red dwarf to be 0.18–0.20M⊙

Is WD 1437-008 a cataclysmic variable?

Comprehensive observations of a close binary candidate WD 1437-008 are performed. The shape and amplitude of the observed brightness variations are shown to be inconsistent with the hypothesis of reflection effects, and the photometric period of the system, P phot = 0. d2775, is found to differ from the period of spectral variations, P sp = 0. d272060. As a result, WD 1437-008 has been preliminarily classified as a low-inclination cataclysmic variable. © 2011 Pleiades Publishing, Ltd

Optical study of the polar BM CrB in low accretion state

This paper presents a spectral and photometric study of the poorly studied polar BM CrB. Three states of the polar brightness and signs of transition from one-pole to two-pole accretion mode were found by an analysis of ZTF data. It is shown that the transition from the low state to the high state changes the longitude of the main accretion spot (by $\approx 17^{\circ}$) and increases its elongation (by $\approx 10^{\circ}$). The spectra contain Zeeman absorptions of the H$\alpha$ line which are formed at a magnetic field strength of $15.5\pm1$ MG. These absorptions are likely produced by a cold halo extending from the accretion spot at $\approx {^1/_4}$ of the white dwarf radius. Modeling of the behavior of the H$\alpha$ emission line shows that the main source of emission is the part of the accretion stream near the Lagrangian point L$_1$, which is periodically eclipsed by the donor star. The spectra exhibit a cyclotron component formed in the accretion spot. Its modeling by a simple accretion spot model gives constraints on the magnetic field strength $B=15-40$ MG and the temperature $T_e\gtrsim15$ keV

Triple molybdates one-, one - and three(two)valence metals

The authors thank Ph. D. M. K. Alibaeva, Ph. D. I. A. Gudkova and Ph. D. I. V. Korolkova for participation in the research.The review summarizes experimental data on the phase formation, structure and properties of new complex oxide compounds group - triple molybdates containing tetrahedral molybdate ion, two different singly charged cation, together with tri- or divalent cation. The several structural families of these compounds were distinguished and it shown that many of them are of interest as luminescent, laser, ion-conducting or nonlinear optical materials.The work is executed at partial support of the Russian Foundation for basic research (projects No. 08-03-00384, 13-03-01020 and 14-03-00298)

PN G068.1+11.0: A young pre-cataclysmic variable with an extremely hot primary

© 2016, Pleiades Publishing, Ltd.An analysis of spectroscopic and photometric data for the young pre-cataclysmic variable (PCV) PN G068.1+11.0, which passed through its common-envelope stage relatively recently, is presented. The spectroscopic and photometric data were obtained with the 6-m telescope and Zeiss-1000 telescope of the Special Astrophysical Observatory. The light curves show sinusoidal brightness variations with the orbital-period time scale and brightness-variation amplitudes of Δm = 1.m41, 1.m62, and 1.m57 in the B, V, and R bands, respectively. The system’s spectrum exhibits weak HI (Hβ–Hδ) andHeII λλ4541, 4686, 5411 Å absorption lines during the phases of minimum brightness, as well as HI, HeII, CIII, CIV, NIII, and OII emission lines whose intensity variations are synchronized with variations of the integrated brightness of the system. The emission-line formation in the spectra can be fully explained by the effects of fluorescence of the ultraviolet light from the primary at the surface of the cool star. All the characteristics of the optical light of PN G068.1+11.0 confirm that it is a young PCV containing sdO subdwarf. The radial velocities were measured from a blend of lines of moderately light elements, CIII+NIII λ4640 Å, which is formed at the surface of the secondary due to reflection effects. The ephemeris of the system has been improved through a joint analysis of the radial-velocity curves and light curves of pre-cataclysmic variable, using modelling of the reflection effects. The fundamental parameters of PN G068.1+11.0 have been determined using two evolutionary tracks for planetary-nebula nuclei of different masses (0.7 M⊙and 0.78M⊙). The model spectra for the system and a comparison with the observations demonstrate the possibility of refining the components’ effective temperatures if the quality of the spectra used is improved