Jacobi temperature

The Poisson-Jacobi transform of a function ? defined by $$v(n,t) = \sum\limits_{m = 0}^\infty {h(n,m;t)\phi (m)h_{\alpha ,\beta } } (m)$$ is considered. A theorem for the Jacobi temperaturev (n, t) is established which is analogous to that due to Tychnoff¹ for ordinary temperatures. Its Huygens property and growth pattern are also discussed. A representation theory for Poisson-Jacobi transforms is developed.     

Quantum theory of high-electric-field magnetotransport for a two-dimensional electron gas in microstructures

Summary Nonlinear response to an electric field applied in the plane of a two-dimensional electron gas (2DEG) subjected to a perpendicular magnetic field is expressed in terms of an electric-field (F)-dependent magnetoconductivity in which the effect of the electric field is incorporated in the resolvent of the Liouville operator. This electric-field-dependent Kubo-type formula is calculated in the presence of the simultaneous scattering by disorder and phonons and is expressed in terms of the electric-field-dependent broadening and shifting of the Landau levels. It is found to be essential to treat the two interactions simultaneously and self-consistently at low temperatures. High-field effects such as ?collisional broadening? and ?intracollisional field effects? as manifested through the electric-field-dependent tetradic self-energy of 2DEG in a perpendicular magnetic field are calculated and shown to be much more pronounced in 2DEG as compared to the same phenomenon in three-dimensional semiconductors. The present results are found to be useful in the calculation of the effects of the temperature (T), magnetic field (B) and the electric field (F) as well as the interplay of the two interactions on the quantum effects as manifested in the Landau level broadening due to the relaxation and acceleration of the electrons in an applied electric field. In the limitF→0 the present results reduce to the usual formulae as known from the linear response theory.     

Poisson-Jacobi transforms

The solutions of the Jacobi difference heat equation ▽ _n v(n, t)=(δ/δt)v (n, t) are considered. The theory of Poisson-Jacobi transform is developed to solve the equation. Convergence and inversion theorems are established.

     

A New Isolate from Fusarium proliferatum (AUF-2) for Efficient Nitrilase Production

A fungal isolate from Fusarium proliferatum strain AUF-2 has been found to have a high nitrilase activity (≥1,000 U/l culture). The present work describes optimization of growth conditions and production medium to achieve maximum nitrilase production. The most effective carbon and nitrogen sources for nitrilase production were glucose and sodium nitrate, respectively. ε-Caprolactam was found to be the best inducer for maximum nitrilase production with 80 g/l wet cell biomass and 26 U/g nitrilase activity. An overall nitrilase activity of ≥2,000 U/l culture was obtained in this study, which is one of the best activities reported so far in any Fusarium strain. Chemo-profiling has shown that the strain is versatile in its ability to hydrolyze both aliphatic as well as aromatic nitriles. Efforts are being made to use the strain for biotransformation of pharmaceutical substrates.     

Determination of natural radioactivity levels and associated radiation hazard indices of wheat flour samples from selected Ethiopian markets

Journal of Radioanalytical and Nuclear Chemistry - In this study, natural radioactivity levels of 226Ra, 232Th, and 40K, as well as the related harmful radiological features, were determined for...