On non-local variational problems with lack of compactness related to non-linear optics

We give a simple proof of existence of solutions of the dispersion manage- ment and diffraction management equations for zero average dispersion, respectively diffraction. These solutions are found as maximizers of non-linear and non-local vari- ational problems which are invariant under a large non-compact group. Our proof of existence of maximizer is rather direct and avoids the use of Lions' concentration compactness argument or Ekeland's variational principle.Comment: 30 page

Self-trapping transition for nonlinear impurities embedded in a Cayley tree

The self-trapping transition due to a single and a dimer nonlinear impurity embedded in a Cayley tree is studied. In particular, the effect of a perfectly nonlinear Cayley tree is considered. A sharp self-trapping transition is observed in each case. It is also observed that the transition is much sharper compared to the case of one-dimensional lattices. For each system, the critical values of $\chi$ for the self-trapping transitions are found to obey a power-law behavior as a function of the connectivity $K$ of the Cayley tree.Comment: 6 pages, 7 fig

ЭСТРОГЕНОВЫЕ РЕЦЕПТОРЫ Β — НОВАЯ МИШЕНЬ В ТЕРАПИИ НЕМЕЛКОКЛЕТОЧНОГО РАКА ЛЕГКОГО

Literature review upon various types of estrogen receptors expression (type ? and ?) in the cells of cellular lung cancer, their participation in estrogen and antiestrogen effects implementation, influence of estrogens and antiestrogens on occurrence and progression of malignant lung tumors in animals and humans. Were analyzed reasons of data ambiguity on type ? estrogen receptors (ER?) expression frequency. The results of authors own research in quantitative assessment of ER? expression in tumor tissue of patients with cellular lung cancer (79 male and 22 female patients are presented in this article. An increase in expression rate and incidence of tumors with high ER? level has been shown in patients with lung adenocarcinoma regardless of smoking status or gender. A new strategy of antiestrogen use, especially tamoxifen, has been formulated for cellular lung cancer treatment. Authors believe in a positive effect of adjuvant treatment with tamoxifen in patients with ER?-positive cellular lung cancer used independently or during and after the chemotherapy, by analogy with breast cancer patients.Обзор данных литературы об экспрессии разных типов эстрогеновых рецепторов (ЭРα и ЭРβ) в клетках немелкоклеточного рака легкого,их участии в реализации эффектов эстрогенов и антиэстрогенов, влиянии эстрогенов и антиэстрогенов на возникновение и прогрессию злокачественных опухолей легких у животных и человека. Проанализированы причины неоднозначности данных литературы о частоте экспрессии ЭРβ в ткани немелкоклеточного рака легкого. Представлены результаты собственных исследований авторов по количественной оценке экспрессии ЭРβ в опухолевой ткани пациентов с немелкоклеточным раком легкого (79 мужчин и 22 женщины). Показано повышение уровня экспрессии и частоты встречаемости опухолей с высоким уровнем ЭРβ в группе больных с аденокарциномой легкого независимо от статуса курения и пола пациентов. Сформулирована стратегия применения антиэстрогенов, в частности тамоксифена, при лечении немелкоклеточного рака легкого. Авторы полагают, что есть все основания рассчитывать на сходный с раком молочной железы положительный эффект тамоксифена при его адъювантном применении у больных с ЭРβ-положительными опухолями в качестве самостоятельного средства, а также в ходе и после завершения химиотерапии

Lattice dynamics effects on small polaron properties

This study details the conditions under which strong-coupling perturbation theory can be applied to the molecular crystal model, a fundamental theoretical tool for analysis of the polaron properties. I show that lattice dimensionality and intermolecular forces play a key role in imposing constraints on the applicability of the perturbative approach. The polaron effective mass has been computed in different regimes ranging from the fully antiadiabatic to the fully adiabatic. The polaron masses become essentially dimension independent for sufficiently strong intermolecular coupling strengths and converge to much lower values than those tradition-ally obtained in small-polaron theory. I find evidence for a self-trapping transition in a moderately adiabatic regime at an electron-phonon coupling value of .3. Our results point to a substantial independence of the self-trapping event on dimensionality.Comment: 8 pages, 5 figure

The lead-glass electromagnetic calorimeters for the magnetic spectrometers in Hall C at Jefferson Lab

The electromagnetic calorimeters of the various magnetic spectrometers in Hall C at Jefferson Lab are presented. For the existing HMS and SOS spectrometers design considerations, relevant construction information, and comparisons of simulated and experimental results are included. The energy resolution of the HMS and SOS calorimeters is better than $\sigma/E \sim 6$, and pion/electron ($\pi/e$) separation of about 100:1 has been achieved in energy range 1 -- 5 GeV. Good agreement has been observed between the experimental and simulated energy resolutions, but simulations systematically exceed experimentally determined $\pi^-$ suppression factors by close to a factor of two. For the SHMS spectrometer presently under construction details on the design and accompanying GEANT4 simulation efforts are given. The anticipated performance of the new calorimeter is predicted over the full momentum range of the SHMS. Good electron/hadron separation is anticipated by combining the energy deposited in an initial (preshower) calorimeter layer with the total energy deposited in the calorimeter.Comment: 22 pages, 33 figure

Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients

Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger equations with inhomogeneous parameters, including a linear coupling. For that system we prove the existence of two different kinds of homoclinic solutions to the origin describing solitary waves of physical relevance. We use a Krasnoselskii fixed point theorem together with a suitable compactness criterion.Comment: 16 page

Testing the magnetism of polymerized fullerene

Contains fulltext : 60569.pdf (publisher's version ) (Open Access