Macroscopic amplification of electroweak effects in molecular Bose-Einstein condensates

We investigate the possible use of Bose-Einstein condensates of diatomic molecules to measure nuclear spin-dependent parity violation effects, outlining a detection method based on the internal Josephson effect between molecular states of opposite parity. When applied to molecular condensates, the fine experimental control achieved in atomic bosonic Josephson junctions could provide data on anapole moments and neutral weak couplings.Comment: 5 pages. To be published Phys. Rev. A (Rapid Communication) (2012

Quantization of the Riemann Zeta-Function and Cosmology

Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models. We show that the Lagrangian for the zeta-function field is equivalent to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and the Langlands program is indicated. The Beilinson conjectures on the values of L-functions of motives are interpreted as dealing with the cosmological constant problem. Possible cosmological applications of the zeta-function field theory are discussed.Comment: 14 pages, corrected typos, references and comments adde

Rolling in the Higgs Model and Elliptic Functions

Asymptotic methods in nonlinear dynamics are used to improve perturbation theory results in the oscillations regime. However, for some problems of nonlinear dynamics, particularly in the case of Higgs (Duffing) equation and the Friedmann cosmological equations, not only small oscillations regime is of interest but also the regime of rolling (climbing), more precisely the rolling from a top (climbing to a top). In the Friedman cosmology, where the slow rolling regime is often used, the rolling from a top (not necessary slow) is of interest too. In the present work a method for approximate solution to the Higgs equation in the rolling regime is presented. It is shown that in order to improve perturbation theory in the rolling regime turns out to be effective not to use an expansion in trigonometric functions as it is done in case of small oscillations but use expansions in hyperbolic functions instead. This regime is investigated using the representation of the solution in terms of elliptic functions. An accuracy of the corresponding approximation is estimated.Comment: Latex, 36 Pages, 8 figures, typos correcte

Research into influence of the electrolysis modes on the composition of galvanic Fe-Co-Mo coatings

Досліджено вплив енергетичних (густина струму і) і часових (тривалість імпульсу tі і паузи tn, співвідношення tі/tn) параметрів електролізу на склад та морфологію покриттів Fe-Co-Mo. Встановлено, що підвищення тривалості імпульсу сприяє збагаченню сплаву молібденом тим більше, чим вище густина струму. Показано, що зі збільшенням густини струму структура поверхні покриттів змінюється від дрібнозернистої до глобулярної

SUPERSONIC JET GENERATION BY UNDERWATER SUB-MICROSECOND ELECTRICAL EXPLOSIONS OF WIRE ARRAYS

Experiments in which supersonic water jets are generated by underwater sub-s timescale electrical explosions of cylindrical and conical wire arrays are presented. These are compared with previous experiments [Maler et al., Phys. Plasmas 28, 063509 (2021)] in which the generation of supersonic water jets was demonstrated using a s timescale generator. Although in the present experiments less energy is deposited into the wire arrays, the water jets acquire higher velocities compared to when the deposited energy is higher but the timescale is slower. That is, with a higher energy density deposition rate, faster radial wire expansion is induced resulting in a stronger converging shockwave and a faster waterflow behind its front. In addition, two dimensional hydrodynamic numerical simulations show that the formation of the water jet is the result of extremely high pressure at the axis of the shockwave implosion and the cumulative edge effect realized at the array output

ZYMOGRAPHIC ANALYSIS OF WATER-SOLUBLE PROTEASES OF VIBRIO CHOLERAE O1 AND О139 SEROGROUPS

Aim. Zymographic analysis of water-soluble proteases of Vibrio cholerae O1 и О139 serogroups. Materials and methods. Bacteria cultivated on a casein-yeast agar (рН 7,6) at 37 ° with during one twenty-four hours and washed off physiological solution. Bacterial mass (by the concentration of 109 cell./ml) was treatment by sterile solution of urea in an eventual concentration 4,5 М. After day's display and determination of sterility of got lysate insoluble in urea material (cell walls) was deleted by high-speed centrifugation. Supernatant liquid was exposed to the dialysis, released from insoluble in water sediment centrifugation and freeze dried out. Protease activity was determined in diffusion test in 1 % agarose gel, containing 0,5 % gelatin or 0,5% casein. The spectrum of proteases was analysed by a substrate electrophoresis in the blocks of 8% polyacrylamide gel, impregnated in the process of polymerization gelatin or casein (in an eventual concentration 0,1 %), in presence the dodecylsulphate of sodium. Results. After differential centrifugation of ureal lysate of cells and dialysis there are mainly intracellular water-soluble proteases in the investigated extracts. Diffusion tests showed that all preparations of the investigated strains of Vibrio cholerae possessed protease activity of different intensity. Changing of substrate in diffusion test from gelatin to the casein resulted in the general diminishing of the registered areas of hydrolysis, specifying that a casein fissions less actively by comparison to gelatin. Substrate electrophoresis showed that proteins, making the spectrum of water-soluble pro teases of Vibrio cholerae are extracted by urea, possessed molecular mass, varying within from less than 30 кйа to more than 120 кDа. Strains distinctions are marked in quantitative and high-quality description of spectrums of soluble proteases. Dependence of description of type of water-soluble proteases is educed on used substrate. At the estimation of spectrums of proteases clear confirmation is got, that on gels are impregnated by gelatin electrophoretic mobility of proteases is higher, than in gels, containing a casein. Conclusion. Substrate electrophoresis of preparations of cell-free lysates of Vibrio cholerae showed the presence of a few water-soluble proteases, quantitative and high-quality interstrain distinctions, dependence of spectrum of active proteases from of used substrate

On the superfluidity of classical liquid in nanotubes

In 2001, the author proposed the ultra second quantization method. The ultra second quantization of the Schr\"odinger equation, as well as its ordinary second quantization, is a representation of the N-particle Schr\"odinger equation, and this means that basically the ultra second quantization of the equation is the same as the original N-particle equation: they coincide in 3N-dimensional space. We consider a short action pairwise potential V(x_i -x_j). This means that as the number of particles tends to infinity, $N\to\infty$, interaction is possible for only a finite number of particles. Therefore, the potential depends on N in the following way: $V_N=V((x_i-x_j)N^{1/3})$. If V(y) is finite with support $\Omega_V$, then as $N\to\infty$ the support engulfs a finite number of particles, and this number does not depend on N. As a result, it turns out that the superfluidity occurs for velocities less than $\min(\lambda_{\text{crit}}, \frac{h}{2mR})$, where $\lambda_{\text{crit}}$ is the critical Landau velocity and R is the radius of the nanotube.Comment: Latex, 20p. The text is presented for the International Workshop "Idempotent and tropical mathematics and problems of mathematical physics", Independent University of Moscow, Moscow, August 25--30, 2007 and to be published in the Russian Journal of Mathematical Physics, 2007, vol. 15, #