– The dynamics of a Bose-Einstein condensate is studied theoretically in a combined periodic plus harmonic external potential. Different dynamical regimes of stable and unstable collective dipole and Bloch oscillations are analysed in terms of a quantum mechanical pendulum model. Nonlinear interactions are shown to counteract quantum-mechanical dephasing and lead to superfluid behaviour. The st...

in the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.

A similarity transformation is constructed through which a system of particles interacting with inverse-square two-body and harmonic potentials in one dimension, can be mapped identically, to a set of free harmonic oscillators. This equivalence enables us to write down the complete set of eigenfunctions. We find the exact constants of motion and a linear W1+∞ algebra associated with this model....

An active antenna for transmitter application in S frequency band is designed and analyzed using harmonic balance technique which is based on the nonlinear model of active devices. In this active antenna, the amplifier is integrated with the radiator which is a rectangular patch antenna. This patch antenna is analyzed employing full-wave momentum method. By applying nonlinear model of transisto...

There is a natural conjecture that the universal bounds for the dimension spectrum of harmonic measure are the same for simply connected and for non-simply connected domains in the plane. Because of the close relation to conformal mapping theory, the simply connected case is much better understood, and proving the above statement would give new results concerning the properties of harmonic meas...

background haemorrhoids are cushions of submucosal vascular tissue located in the anal canal starting just distal to the dentate line. haemorrhoidal disease is a common anorectal disorder which has symptoms of bleeding, prolapse, pain, thrombosis, mucus discharge, and pruritus. haemorrhoidectomy is one of most frequently performed anorectal operation worldwide. objectives the aim of this study ...

This paper explores whether a speaker's voice quality, de®ned as the perceived timbre of someone's speech, changes as a function of variation in speech melody. Analyses are based on several productions of the vowel `a', provided with di€erent intonation patterns. It appears that in general fundamental frequency covaries with the `strength relationship' between the ®rst two harmonics (H1±H2). Th...