Analysis of the mean values and fluctuations in the chaotic maser model

Recently obtained results on the quantum “grid” of mean values of observables in the energy representation for the maser model is here compared with the classical results calculated via the microcanonical mean values using the classical hamiltonian. Our main result is the evidence that such comparison does work for all regimes from regular to chaotic (but not necessarily ergodic). We show evidences that such quantum fluctuation around the classical average depend on the oscillations of the size and the position of the classical stable region merged in the chaotic sea. Also, depending on the choice of the observable being associated to compact phase space (spin) or infinite phase space (boson) the spreading around the mean can become larger or smaller.     

PHYTOCHROME SYNTHESIS DURING IMBIBITION IN EMBRYONIC AXES OF Pisum sativum L.*

Abstract— The exact quantity of phytochrome in crude homogenates (2kS) prepared from embryonic axes of Pisum sativum during imbibition at 25°C on 0,2% agar was estimated optically. The problem of the scattering factor was solved by using highly purified phytochrome as an internal standard. The content of phytochrome protein moiety in diluted samples of the crude homogenates of the axes was also determined by an enzyme-linked immunosorbent assay (ELISA). Phytochrome was not detectable either spectropho-tometrically or immunochemically in 2kS of dormant dry axes. Embryonic axes quickly absorbed water during the first1–2 h after the start of imbibition, after which the fresh weight stayed at a constant level for a further 10 h. The content of spectrophotometrically detectable phytochrome increased during imbibition in the dark, reaching about 0.2 μ.g/axis after 12 h. The amount of phytochrome in 2kS of axes in the light was so small that only about 0.05 μg/axis was detected after 12 h. The content of immunochemically detectable phytochrome greatly increased up to ca. 0.5 μg/axis after 12 h of dark incubation. In 2kS of the light-grown axes the content of the phytochrome protein was ca. one fourth lower than in dark-grown axes. We conclude that the appearance and increase of phytochrome in fragments of imbibed embryonic axes were caused by de novo synthesis and that the contents of both photometrically detectable phytochrome and its protein moiety in the light-grown samples were lower than those in the dark throughout the early germination process.     

Large signal analysis of phase variations and bistability in degenerate four-wave mixing

Optical and Quantum Electronics -     

Synthesis and Characterizations of Regioregular Poly(3‐alkylthiophene) with Alter1483ting Dodecyl/1H,1H,2H,2H‐Perfluorooctyl Side Chains

A regioregular poly[4′‐dodecyl‐3‐(1H,1H,2H,2H‐perfluorooctyl)‐2,2′‐bithiophene] (P3DDFT) with alternating alkyl and semifluoroalkyl side chains were synthesized. Short ethylene spacer between perfluorohexyl part and thiophene did not largely affect the absorption and emission properties of the polythiophene backbone in comparison with poly(3‐dodecylthiophene) (P3DDT). P3DDFT showed a larger onset of the oxidation potential (+0.17 V) observed by cyclic voltamogram due to the electron withdrawing effect of the fluoroalkyl part. Thermal analysis and X‐ray diffraction patterns indicated that P3DDFT in the solid state forms a semicrystalline lamellar structure that is similar to that of P3DDT. Ultraviolet photoemission spectroscopy was also used to investigate their electron structure in the films. Comparison of hole mobilities in the films suggested that P3DDFT could have a less ordered packing structure compared to P3DDT both in the bulk and at the dielectric interface.

     

Visible light-induced degradation of ethylene glycol on nitrogen-doped TiO2 powders

The photocatalytic degradation processes of ethylene glycol (EG) during the UV or visible light irradiation of pure anatase and nitrogen (N)-doped TiO2 powders (TiO(2-x)N(x), x = 0, 0.002, 0.003, and 0.007) were investigated using time-resolved diffuse reflectance (TDR) and solid-state NMR spectroscopies. The TDR spectra and time traces observed for the charge carriers indicated that the scavenging of photogenerated holes (h+) by EG occurred during the 355-nm laser photolysis of the N-doped TiO2 powders, while no direct oxidation reaction of EG by h+ occurred during the 460-nm laser photolysis, although the charge carriers were sufficiently generated upon excitation. The solid-state magic-angle spinning (MAS) NMR measurements revealed that EG is preferentially chemisorbed on the surface of the N-doped TiO2 powders, in contrast to the pure TiO2, and degrades under visible light irradiation.     

Explicit representations of the integral containing the error term in the divisor problem

We shall investigate several properties of the integral $$ \int_1^\infty {t^{ - \theta } \Delta _k \left( t \right) log^j t dt} $$ with a natural number k, a non-negative integer j and a complex variable θ, where Δ _k (x) is the error term in the divisor problem of Dirichlet and Piltz. The main purpose of this paper is to apply the “elementary methods” and the “elementary formulas” to derive convergence properties and explicit representations of this integral with respect to θ for k = 2.     

Upper Bound on the Diameter of a Domination Dot-Critical Graph

A vertex of a graph is called critical if its deletion decreases the domination number, and an edge is called dot-critical if its contraction decreases the domination number. A graph is said to be dot-critical if all of its edges are dot-critical. In this paper, we show that if G is a connected dot-critical graph with domination number k??? 3 and diameter d and if G has no critical vertices, then d??? 2k?3.     

Storage and retrieval of a squeezed vacuum

Storage and retrieval of a squeezed vacuum was successfully demonstrated using electromagnetically induced transparency. The squeezed vacuum pulse having a temporal width of 930 ns was incident on the laser cooled 87Rb atoms with an intense control light in a coherent state. When the squeezed vacuum pulse was slowed and spatially compressed in the cold atoms, the control light was switched off. After 3 mus of storage, the control light was switched on again, and the squeezed vacuum was retrieved, as was confirmed using the time-domain homodyne method.