On eigenfunction approximations for typical non-self-adjoint Schroedinger operators

We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schroedinger operators which have dilation analytic potentials. In spite of the fact that such eigenfunctions can have surprisingly complicated structures with multiple local maxima, we show that a suitable adaptation of the JWKB method is able to provide accurate lobal approximations to them.Comment: 17 pages, 11 figure

La tuberculose extra-ganglionnaire de la sphere O.R.L.

La tuberculose extra ganglionnaire est une pathologie rare en ORL. Elle pourrait poser des problèmes diagnostiques surtout avec la pathologie tumorale. Nous rapportons 10 cas de localisations extra-ganglionnaires, colligés au service ORL de l\'hôpital Tahar Sfar de Mahdia entre 1988 et 2004. Il s\'agissait de 7 femmes et 3 hommes, âgés entre 19 et 77 ans (moyenne : 39 ans). La maladie a touché le cavum dans 3 cas, les glandes salivaires dans 3 cas, les amygdales palatines dans 2 cas et le larynx chez 2 patients. Le diagnostic était dans tous les cas histo-pathologique. Tous nos patients ont reçu un traitement anti-tuberculeux. L\'évolution était favorable avec un recul moyen de 11 mois. Conclusion : La tuberculose extra-ganglionnaire en ORL pose surtout des problèmes diagnostiques. Son diagnostic est le plus souvent histo-pathologique. Son traitement repose sur la himiothérapie anti-tuberculeuse. Extra-nodal tuberculosis is a rare in ENT practice. We report 10 cases of extra-ganglionic localizations of tuberculosis, treated in ENT department of the Tahar Sfar hospital of Mahdia between 1988 and 2004. They were 7 women and 3 men, aged between 19 and 77 years (average: 39 years) . The disease has touched the nasopharynx in 3 cases, the salivary glands in 3 cases, the tonsils in 2 cases and the larynx in 2 cases. The diagnosis was in all cases histo-pathological. All our patients received an anti-tubercular treatment. The evolution was favorable with 11 months average outcome. Conclusion: Extra-nodal tuberculosis in ENT poses especially diagnostic problems. Its treatment is based on anti-tubercular chemotherapy. Journal Tunisien d\'ORL et de chirurgie cervico-faciale Vol. 16 2006: pp. 36-3

On the Born-Oppenheimer approximation of diatomic molecular resonances

We give a new reduction of a general diatomic molecular Hamiltonian, without modifying it near the collision set of nuclei. The resulting effective Hamiltonian is the sum of a smooth semiclassical pseudodifferential operator (the semiclassical parameter being the inverse of the square-root of the nuclear mass), and a semibounded operator localised in the elliptic region corresponding to the nuclear collision set. We also study its behaviour on exponential weights, and give several applications where molecular resonances appear and can be well located.Comment: 22 page

Conservation agriculture in the dry Mediterranean climate

The objective of this article is to review: (a) the concepts and principles that underpin Conservation Agriculture (CA) ecologically and operationally; (b) the potential benefits that can be harnessed through CA systems in the dry Mediterranean climates; (c) current status of adoption and spread of CA in the dry Mediterranean climate countries; and (d) opportunities for CA in the Central and West Asia and North Africa (CWANA) region. CA, comprising minimum mechanical soil disturbance and no-tillage seeding, organic mulch cover, and crop diversification is now practised on some 125 million ha, corresponding to about 9% of the global arable cropped land. Globally, the area under CA is spread across all continents and all agro-ecologies, including the dryland climates in the Mediterranean basin region as well as in the Mediterranean climates elsewhere in the world. Worldwide empirical and scientific evidence is available to show that significant productivity, economic, social and environmental benefits exist that can be harnessed through the adoption of CA principles for sustainable production intensification in the dry Mediterranean climates, including those in the CWANA region. The benefits include: fundamental change for the better in the sustainability of production systems and ecosystem services; higher stable yields and incomes; climate change adaptation and reduced vulnerability to the highly erratic rainfall distribution; and reduced greenhouse gas emissions. CA has taken off globally and is now spreading in several Mediterranean climates outside the Mediterranean basin particularly in South America, South Africa and Australia. In the dry Mediterranean climates in the CWANA region, CA is perceived to be a powerful tool of land management but CA has not yet taken off. Research on CA in the CWANA region has shown that there are opportunities for CA adoption in rainfed and irrigated farming systems involving arable and perennial crops as well as livestock

Benign osteoblastoma in an unusual mastoid location

SummaryIntroductionBenign osteoblastoma (OB) is an unusual primary bone tumor. The preferred locations are the posterior arch of vertebrae and long bones. We report herein an extremely rare location of an OB in the mastoid process of the temporal bone.Case reportA 22-year-old woman presented with painful left retro-auricular swelling. Computed tomography features were suggestive of an aggressive osteolytic lesion of the left mastoid. The pathologic examination of bone curettage material revealed a benign OB. A complete resection of the tumor was performed later, with no evidence of recurrence at 1 year.Discussion/ConclusionTo our knowledge, this is the 14th reported case of OB confined to the mastoid process of temporal bone. Its histological diagnosis can be difficult and osteosarcoma is its principal differential diagnosis. Although generally regarded as benign, OB has potential for recurrence and local invasion. As such, complete resection, whenever possible, is preferred over conventional curettage

Chemical synthesis and magnetic properties of monodisperse cobalt ferrite nanoparticles

In this work, a successful synthesis of magnetic cobalt ferrite (CoFe2O4) nanoparticles is presented. The synthesized CoFe2O4 nanoparticles have a spherical shape and highly monodisperse in the selected solvent. The effect of different reaction conditions such as temperature, reaction time and varying capping agents on the phase and morphology is studied. Scanning transmission electron microscopy showed that the size of these nanoparticles can be controlled by varying reaction conditions. Both X-ray diffraction and energy dispersive X-ray spectroscopy corroborate the formation of CoFe2O4 spinel structure with cubic symmetry. Due to optimized reaction parameters, each nanoparticle was shown to be a single magnetic domain with diameter ranges from 6 to 16 nm. Finally, the magnetic investigations showed that the obtained nanoparticles are superparamagnetic with a small coercivity value of about 315 Oe and a saturation magnetization of 58 emu/g at room temperature. These results make the cobalt ferrite nanoparticles promising for advanced magnetic nanodevices and biomagnetic applications.Comment: 10 pages, 9 figure

Histiocytose langerhansienne multiviscerale avec atteinte auriculaire bilaterale a propos d’une observation

L’histiocytose langerhansienne multi-viscérale est une prolifération clonale des cellules de Langerhans, touchant plusieurs organes. Cette entité se voit surtout chez l’enfant. Dans ce travail, nous rappelons les aspects cliniques avec la fréquence d’atteinte oto-rhino-laryngologique, ainsi que les moyens de diagnostic et le traitement de cette affection rare. Nous présentons le cas d’un enfant âgé de 2 ans qui a été hospitalisé pour une pneumopathie interstitielle, associée à une otorrhée bilatérale. L’examen a montré un comblement des 2 conduits auditifs externes et des lésions cutanées squameuses. La biopsie a conclu à une histiocytose langerhansienne. Malgré la chimiothérapie, l’enfant est décédé après 11 mois.Mots-clés : Histiocytose langerhansienne, atteinte auriculaire