THREE LIMITS IN THE INTERACTIONS OF THE s,d, g,BOSONS

In the I. B. M., when s, d, g bosons are presented, the boson Hamiltonian has thestructure of group U(15). This paper deals with the various chains of subgroups ofgroap U(15). Especially, the following chains:SU(15)SU(3)SO(3), SU(15)SU(5)SO(5)SO(3), U(15)U(14)SO(5)SO(3).are studied in detail, The formulae of the energy spectra are also given.     

An ab initio study of CX3‐substitution (X = H,F, Cl,Br, I) effects on the static electric polarizability and hyperpolarizability of diacetylene

We report a systematic ab initio and density functional theory (DFT) study of the electric properties of the X₃C? C≡C? C≡C? H (X = H, F, Cl, Br, and I) sequence of substituted diacetylenes. We rely on finite‐field Møller–Plesset perturbation theory and coupled‐cluster calculations with large, flexible basis sets. Our best values at the second‐order Møller–Plesset perturbation theory level for the mean dipole polarizability and second hyperpolarizability are $\overline {{\alpha} } $ /e²aE = 64.46 (? CH₃), 65.59 (? CF₃), 110.11 (? CCl₃), 138.90 (? CBr₃), 184.98 (? CI₃) and $\overline {{\gamma} } $ /e⁴aE = 21020 (? CH₃), 13469 (? CF₃), 32708 (? CCl₃), 57599 (? CBr₃), and 105251 (? CI₃). For comparison, the analogous MP2 values for diacetylene [P.Karamanis and G.Maroulis, Chem. Phys. Lett. 2003 , 376, 403.] are $\overline {{\alpha} } $ /e²aE = 49.17, and $\overline {{\gamma} } $ /e⁴aE = 16227. For the mean first hyperpolarizability we report $\overline {{\beta} } $ /e³aE = ?205.8 (? CH₃), ?55.7 (? CF₃), 120.8 (? CCl₃), 443.8 (? CBr₃), and 725.4 (? CI₃). Copyright © 2010 John Wiley & Sons, Ltd.     

Free-field realizations of the W,N-algebra

In this paper, we will construct free-field realizations of the W_,N algebra associated to an -valued differential operator

where is a Frobenius algebra with the uint I_n.     

Effect of temperature on the conductivity, structural, and morphology of PVA-based alkaline solid polymer electrolyte

Alkaline polymer electrolytes (ASPE) have been prepared by using poly(vinyl alcohol) (PVA) polymer and which different weight percentages of potassium hydroxide (KOH), ceramic filler (α-Al₂O₃), and propylene carbonate (PC) have been added. The pure PVA/H₂O weight ratio (1.00:1.49), the PVA/KOH/H₂O (1.00:0.67:2.22), the PVA/KOH/α-Al₂O₃/H₂O (1.00:0.67:0.09:7.56), and PVA/KOH/α-Al₂O₃/PC/H₂O (1.00:0.67:0.09:2.64:1.32) were studied. The hysteresis phenomena in the conductivity temperature of ASPE were investigated. The polymer electrolytes prepared were characterized using X-ray diffraction and scanning electron microscopy.     

Isospin violation,light quark masses,and all that

Isospin violation is driven through the light quark mass difference and electromagnetic effects.I review recent progress in extracting the light quark mass difference and tests of the chiral dynamics of Quantum Chromodynamics in various reactions involving light as well as heavy quarks.     

A comparison of the performance of LiNbO3, and LiTaO3, traveling-wave phase modulators

A comparison of the phase modulators made by Ti:LiNbO₃ and Ti:LiTaO₃ optical waveguides is presented. Of particular interest is their halfwave voltages at the wavelength 0.6328 μm and the frequency responses for the same electrode structure. For the Ti:LiNbO₃ phase modulator, a halfwave voltage of 6.6 V and a band-width of 13 GHz are obtained. Whereas, the Ti:LiTaO₃, a 6.8 V halfwave voltage and 12 GHz bandwidth are obtained.     

Modern classical physics: optics,fluids, plasmas,elasticity, relativity,and statistical physics

Semiconductor Physics. By K. Seeger. (Springer-Verlag, Wiens New York, 1973.) [Pp. 430.] DM 60. Scope: Textbook. Level: post-graduate.

The World of Walther Nernst:The Rise and Fall of German Science. K. Mendelssohn. (Macmillan, 1973.) [Pp. viii+191.] £4.95. Scope: Library. Level: General reader.

Cosmic Rays at Ground Level. A volume dedicated to George D. Rochester in the year of his retirement. Edited by A. W. Wolfendale. (Institute of Physics, London and Bristol, 1973.) [Pp. viii+ 233.] £12 (£6 to members).

Gravitation. By C. W. Misner, K. S. Thorne and J. A. Wheeler. (W. H. Freeman, 1973.) [Pp. xix+ 1279.] £19.20 cloth; £8.60 paper. Scope: Treatise/Textbook; Library. Level: Specialist/post-graduate.

General Theory of Relativity. By C. W. Kilmister. (Pergamon Press, 1973.) [Pp. ix+ 365.] Hard cover £3.50; Flexi £2.00. Scope: Textbook. Level: Post-graduate; Undergraduate.

Plasma Astrophysics. By S. A. Kaplan and V. N. Tsytovich, translator D. ter Haar. (Pergamon, 1973.) [Pp. xiii+ 301.] £9.60. Scope: Treatise/Textbook; Library. Level: Specialist/post-graduate.     

Hyperinstantons,the Beltrami equation,and triholomorphic maps

We consider the Beltrami equation for hydrodynamics and we show that its solutions can be viewed as instanton solutions of a more general system of equations. The latter are the equations of motion for an sigma model on 4‐dimensional worldvolume (which is taken locally HyperKähler) with a 4‐dimensional HyperKähler target space. By means of the 4D twisting procedure originally introduced by Witten for gauge theories and later generalized to 4D sigma‐models by Anselmi and Fré, we show that the equations of motion describe triholomophic maps between the worldvolume and the target space. Therefore, the classification of the solutions to the 3‐dimensional Beltrami equation can be performed by counting the triholomorphic maps. The counting is easily obtained by using several discrete symmetries. Finally, the similarity with holomorphic maps for sigma on Calabi‐Yau space prompts us to reformulate the problem of the enumeration of triholomorphic maps in terms of a topological sigma model.     

Characteristics of Hydrogen Sensors Based on Thin Tin Dioxide Films Modified with Platinum,Palladium, Silver,and Yttrium

Russian Physics Journal - The dependence of the characteristics of hydrogen sensors based on thin Pt/Pd/SnO2:Sb, Ag, Y and Ag/SnO2:Sb, Ag, Y films obtained by the method of magnetron sputtering at...     

Matroidal Entropy Functions: A Quartet of Theories of Information,Matroid, Design,and Coding

In this paper, we study the entropy functions on extreme rays of the polymatroidal region which contain a matroid, i.e., matroidal entropy functions. We introduce variable strength orthogonal arrays indexed by a connected matroid M and positive integer v which can be regarded as expanding the classic combinatorial structure orthogonal arrays. It is interesting that they are equivalent to the partition-representations of the matroid M with degree v and the (M,v) almost affine codes. Thus, a synergy among four fields, i.e., information theory, matroid theory, combinatorial design, and coding theory is developed, which may lead to potential applications in information problems such as network coding and secret-sharing. Leveraging the construction of variable strength orthogonal arrays, we characterize all matroidal entropy functions of order n≤5 with the exception of log10·U2,5 and logv·U3,5 for some v.     

Substitution structure of cyanogen, NCCN, from high-resolution far infrared spectra

The lowest lying vibrational bands of the gas-phase spectra of cyanogen, NCCN, and four of its isotopomers, , , , and , were recorded with a Fourier transform interferometer. The resolution was limited by the maximum optical path difference (MOPD) attainable with the interferometer to . Rovibrational transitions of the ν₅ () and also the ν₂-ν₅ () band systems were assigned for all five isotopomers. The use of an effective Hamiltonian for linear molecules to fit the data yielded precise spectroscopic vibrational and rotational constants for the vibrational states (v₁v₂v₃v₄v₅) or (v₄v₅)=(00), (01), (02), (03), and (01000). These data include the first rotationally resolved transitions involving (01000). Complete substitution (r_s) structures of cyanogen, based on both single and double isotopic substitution of the parent species, were calculated. The derived structure is r_CC=138.48(17) pm and r_CN=115.66(13) pm. The two r_s structures coincide within the errors due to remaining contributions of zero-point vibrations.     

Influence of quantum correction on black hole shadows,photon rings,and lensing rings

We calculate photon sphere \begin{document}$r_{ph}$\end{document} and critical curve \begin{document}$b_c$\end{document} for a quantum corrected Schwarzschild black hole, finding that they violate universal inequalities proved for asymptotically flat black holes that satisfy the null energy condition in the framework of Einstein gravity. This violation seems to be a common phenomenon when considering quantum modification of Einstein gravity. Furthermore, we study the shadows, lensing rings, and photon rings in the quantum corrected Schwarzschild black hole. The violation leads to a larger bright lensing ring in the observational appearance of the thin disk emission near the black hole compared with the classical Schwarzschild black hole. Our analysis may provide observational evidence for the quantum effect of general relativity.     

Laser properties of yag: Nd,Cr, Ce

Summary Transient absorption of a long lifetime ( 20 s) of YAG: Nd is typical of pure material. It is the main reason of thermal deformation of the laser rods accompanied with power decreases at higher CW input. It may be prevented by an admixture of Fe, Ti or Cr. Using a small admixture ( 10^–3 wt.%) of Ti or Cr the energy transfer among Nd ions and the gain coefficient may be increased. Cr in a higher concentration absorbs the pumping light and serves as earlier described coactivator (sensitizer) only. Fe impurity fully prevents any increase of the gain of YAG: Nd containing Ti or Cr and causes slow but irreversible degradation of the active parameters. Ce favourably modifies properties of YAG: Nd, Cr. YAG: Nd, Cr, Ce free of iron impurity is advisable active material for powerfull CW lasers.