The 19-Vertex Model at critical regime ∣q∣=1|q|=1

We study the 19-vertex model associated with the quantum group $U_q(\hat{sl_2})$ at critical regime $|q|=1$. We give the realizations of the type-I vertex operators in terms of free bosons and free fermions. Using these free field realizations, we give the integral representations for the correlation functions.Comment: LaTEX2e, 19page

A Novel Photonic Material for Designing Arbitrarily Shaped Waveguides in Two Dimensions

We investigate numerically optical properties of novel two-dimensional photonic materials where parallel dielectric rods are randomly placed with the restriction that the distance between rods is larger than a certain value. A large complete photonic gap (PG) is found when rods have sufficient density and dielectric contrast. Our result shows that neither long-range nor short-range order is an essential prerequisite to the formation of PGs. A universal principle is proposed for designing arbitrarily shaped waveguides, where waveguides are fenced with side walls of periodic rods and surrounded by the novel photonic materials. We observe highly efficient transmission of light for various waveguides. Due to structural uniformity, the novel photonic materials are best suited for filling up the outer region of waveguides of arbitrary shape and dimension comparable with the wavelength.Comment: 4 figure

Solvable Discrete Quantum Mechanics: q-Orthogonal Polynomials with |q|=1 and Quantum Dilogarithm

Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. Their orthogonality weight functions consist of quantum dilogarithm functions, which are a natural extension of the Euler gamma functions and the q-gamma functions (q-shifted factorials). The dimensions of the orthogonal spaces are finite. These q-orthogonal polynomials are expressed in terms of the Askey-Wilson polynomials and their certain limit forms.Comment: 37 pages. Comments and references added. To appear in J.Math.Phy

On a q-analogue of the multiple gamma functions

A $q$-analogue of the multiple gamma functions is introduced, and is shown to satisfy the generalized Bohr-Morellup theorem. Furthermore we give some expressions of these function.Comment: 8 pages, AMS-Late

Seasonal Variations of Labile Soil Organic Carbon and Nitrogen Fertility in Grassland Soil in Tokyo, Japan

We investigated seasonal variations of soil enzyme activities, soil inorganic N, soil microbial biomass N (BN) and soil total sugar C (TSC) during March to December in cattle-grazed pasture in Japan (Andisols). Dehydrogenase activity had three peaks in a year, on the other hand, phosphomonoesterase activity increased from spring (April) up to summer (August) but then gradually decreased toward winter. BN also showed a seasonal variation, which gradually increased from April to August, but in the end of August once decreased rapidly because of soil becoming dry. Soil inorganic N had three peaks which appeared after the appearance of dehydrogenase activityí-s peaks and which resulted from Nfertilization or cattle pasturage. TSC showed a seasonal variation which didní-t show any change from April to early in August (about 3000mg/kg) but then sharply decreased down to about 1500mg/kg in the end of August. In this study, these labile soil organic matter fractions and the amount of soil inorganic N in cattle-grazed pasture showed seasonal variations

The shock process and light element production in supernovae envelopes

Detailed hydrodynamic modeling of the passage of supernova shocks through the hydrogen envelopes of blue and red progenitor stars was carried out to explore the sensitivity to model conditions of light element production (specifically Li-7 and B-11) which was noted by Dearborn, Schramm, Steigman and Truran (1989) (DSST). It is found that, for stellar models with M is less than or approximately 100 M solar mass, current state of the art supernova shocks do not produce significant light element yields by hydrodynamic processes alone. The dependence of this conclusion on stellar models and on shock strengths is explored. Preliminary implications for Galactic evolution of lithium are discussed, and it is suspected that intermediate mass red giant stars may be the most consistent production site for lithium

Relationship Between Broadleaf Dock (Rumex obtusifolius L.) and Seasonal Yield of Orchardgrass Grazed Pasture

In order to grasp the ecology of R. obtusifolius and the effects of it on seasonal yield of grass in grazing pasture, we investigated seasonal sward characteristics and dry matter yield in grazing pasture. Dry matter yield and coverage of R. obtusifolius predominated those of grass after mid-June and mid-August, respectively. Throughout the year the coverage of R. obtusifolius negatively correlated to the grass yield. After August, the grass yield was negatively related to the yield and the population density of R. obtusifolius. From the facts described above, R. obtusifolius seems to reduce grass yield throughout the year, especially after August