Synthesis of gaussian beam excited rectangular dielectric guide modes by ray theory

In the present paper, ray analysis of the wave propagation has been used to evaluate the excitation of a linear dielectric guide by a gaussian beam. The paper begins by determining the Green's function of the structure and also evaluates the excitation by gaussian beam therefrom, following Falsen and Shin [1].     

Saturating chiral field theory for the study of nuclear matter in the relativistic Hartree approximation

The bulk properties of nuclear matter are studied by considering a chirally invariant lagrangian which contains an interaction term involving scalar and vector mesons, of the form (apart from a numerical factor) used by Boguta. The calculation is performed in the relativistic Hartree approximation which includes the baryon vacuum fluctuation correction.     

Reactions of indoles with mercury (II) salts

A number of mercurated indoles were prepared. Their spectroscopic data (UV,ir,^1H-NMR and13C-nmr) are reported. Our results contradict certain data appearing in previous reports on similar compounds. When heated in acetic acid mercurated compounds decomposed, although the products formed were not identical with those obtained earlier from the same substrates by the action of thallium(III) acetate in acetic acid. Reaction of l-methylindole-3-mercuriacetate with styrene in the presence of lithium tetrachloropalladate furnished a product which was tentatively assigned the structure 9-methyl-1,3-diphenyl-1, 2, 3, 4-tetrahydrocarbazole.     

Off-shell t-matrix for an exponential potential with non-local core interaction

The wave function approach of Van Leeuwen and Reiner to the t-matrix is generalized to the case of a non-local potential. The transition matrix element for this potential is obtained. The results are used to compute the s-wave part of the t-matrix for a non-local square well potential combined with an outside exponential potential.     

Dieckmann cyclisation of some β,γ-unsaturated dimethyl esters—II

Further studies of Dieckmann cyclisation are described based on unsaturated heptanedioic acid diesters 1 and 9.     

B−L non-conserving proton decay in guts

It is shown that B?L non-conserving proton decay (p→e^?π⁺π⁺ etc.) is allowed through gauge boson mixing in both SO(10) and E(6) GUTs, but not in the SU(5) GUT. The lifetime for this decay mode is estimated.     

On L-fuzzy topological spaces

L-fuzzy sets and, subsequently, L-fuzzy topological spaces are considered in this paper, where L is a complete and completely distributive non-atomic Boolean algebra. A few separation properties as well as subspace L-fuzzy topology are defined here, in the light of an earlier paper. These are more similar to ordinary topological spaces than to fuzzy topological spaces.     

Studies on nessler's reagent part I

The nature of the reaction between [HgI₄]^-2 and OH^- ions, which are the components of the Nessler's reagent, has been. studied and established as

, by determining the concentration of iodide ions formed in the solution, potentiometrically from the concentration cells of iodide-hypoiodite system. The equilibrium constant has also been calculated and found to be lo^-3.26.