Generalized Bargmann functions, their growth and von Neumann lattices

Generalized Bargmann representations which are based on generalized coherent states are considered. The growth of the corresponding analytic functions in the complex plane is studied. Results about the overcompleteness or undercompleteness of discrete sets of these generalized coherent states are given. Several examples are discussed in detail.Comment: 9 pages, changes with respect to previous version: typos removed, improved presentatio

Chaotic diffusion of particles with finite mass in oscillating convection flows

Deterministic diffusion in temporally oscillating convection is studied for particles with finite mass. The particles are assumed to obey a simple dissipative dynamical system and the particle diffusion is induced by the strange attractor. The diffusion constants are numerically calculated for convection models with free and rigid boundary conditions.Comment: 5 figure

Using handheld pocket computers in a wireless telemedicine system

Objectives: To see if senior emergency nurse practitioners can provide support to inexperienced ones in a Minor Injuries Unit by using a wireless LAN system of telemedicine transmitting images to a PDA when they were on duty. In addition, whether such a system could be sufficiently accurate to make clinical diagnoses with a high level of diagnostic confidence. This would permit an overall lower grade of nurse to be employed to manage most of the cases as they arrive with a proportionate lowering of costs. Methods: The wireless LAN equipment could roam in the Minor Injuries Unit and the experienced emergency Nurse practitioners could be at home, shopping or even at a considerable distance from the centre. Thirty pictorial images of patients who had been sent to the Review Clinic were transmitted to a PDA various distances of one to sixteen miles from the centre. Two senior emergency nurse practitioners viewed the images and opined on the diagnosis, their degree of confidence in the diagnosis and their opinion of the quality of the image. Results: the images of patients were sharp, clear, and of diagnostic quality. The image quality was only uncertain, as was the level of confidence of the diagnosis if the patient was very dark skinned. Conclusions: The wireless LAN system works with a remote PDA in this clinical situation. However there are question marks over the availability of enough experienced emergency nurse practitioners to staff a service that provides senior cover for longer parts of the day and at weekends

A product formula and combinatorial field theory

We treat the problem of normally ordering expressions involving the standard boson operators a, ay where [a; ay] = 1. We show that a simple product formula for formal power series | essentially an extension of the Taylor expansion | leads to a double exponential formula which enables a powerful graphical description of the generating functions of the combinatorial sequences associated with such functions | in essence, a combinatorial eld theory. We apply these techniques to some examples related to specic physical Hamiltonians

Hopf Algebras in General and in Combinatorial Physics: a practical introduction

This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics, showing that in this latter case the axioms of Hopf algebra arise naturally. The text contains many exercises, some taken from physics, aimed at expanding and exemplifying the concepts introduced

Microfinance and Entrepreneurship: The Enabling Role of Social Capital Among Female Entrepreneurs

Purpose This paper examines mechanisms through which social capital strengthens microfinance impact on fostering female entrepreneurial success. Specifically, the study focuses on how, and to what extent, resources embedded in social networks determine MF impact on entrepreneurial success. Design/methodology/approach Survey data were collected from 276 female micro-institutions entrepreneurs using multi-stage stratified random sampling across 80 MF institutions in three South-Western Nigerian states. Hypotheses were tested using ordinal regression analysis. Findings The study found that relational and network social capital had a positive and significant influence on female entrepreneurial success. Specifically, intra-group trust and productive network ties amongst female entrepreneurs in poor communities predicated the positive impact of MF on entrepreneurial success. Also, resources embedded in networks are more positively correlated to education level and marital status. Furthermore, MF could have more positive impact for borrowers with sustainable relationships with loan officers who organise MF provisions and understand the entrepreneurs’ context. Originality/value The research provides empirical evidence for the relationship dynamics between female entrepreneurs and MF institutions, by emphasising the importance of deploying different forms of social capital in sustaining MF impact on female entrepreneurial success

Coherent pairing states for the Hubbard model

We consider the Hubbard model and its extensions on bipartite lattices. We define a dynamical group based on the $\eta$-pairing operators introduced by C.N.Yang, and define coherent pairing states, which are combinations of eigenfunctions of $\eta$-operators. These states permit exact calculations of numerous physical properties of the system, including energy, various fluctuations and correlation functions, including pairing ODLRO to all orders. This approach is complementary to BCS, in that these are superconducting coherent states associated with the exact model, although they are not eigenstates of the Hamiltonian.Comment: 5 pages, RevTe

Microfinance and Entrepreneurship: The Enabling Role of Social Capital

Although scholars highlight the importance of social capital for accessing various resources embedded in social networks, little is known about the mechanisms through which social capital strengthens the impact of micro-finance on fostering entrepreneurship. Drawing on forms of social capital, this paper seeks to examine how, and to what extent resources embedded in social networks determine the impact of micro-finance on entrepreneurial success