Integrable approximation to the overlap of resonances

We study the interaction of resonances with the same order in families of integrable Hamiltonian systems. This can occur when the unperturbed Hamiltonian is at least cubic in the actions. An integrable perturbation coupling the action-angle variables leads to the disappearance of an island through the coalescence of stable and unstable periodic orbits and originates a complex orbit plus an isolated cubic resonance. The chaotic layer that appears when a general term is added to the Hamiltonian survives even after the disappearance of the unstable periodic orbit. © 1992.

Connection between the affine and conformal affine Toda models and their Hirota solution

It is shown that the affine Toda models (AT) constitute a gauge fixed version of the conformal affine Toda model (CAT). This result enables one to map every solution of the AT models into an infinite number of solutions of the corresponding CAT models, each one associated to a point of the orbit of the conformal group. The Hirota τ-functions are introduced and soliton solutions for the AT and CAT models associated to SL̂ (r+1) and SP̂ (r) are constructed.

Classical and quantal aspects of resonant normal forms

The Birkhoff-Gustavson normal form is employed to study separately chaos and resonances in a system with two degrees of freedom. In the integrable regime, tunnelling effects are appreciable when the nearest level spacings show oscillations. Tunnelling among states in the libration and rotation tori regions is also observed. The regularity of avoided crossings due to tunnelling indicates a collective effect and is associated with an isolated resonance. The spectral fluctuations also show a strong level correlation. The Husimi distribution, on the other hand, is insensitive to avoided crossings. An integrable approximation to the overlap of resonances is obtained and a theoretical description is given for an isolated cubic resonance plus a complex orbit. In the non-integrable regime chaos is stronger after overlapping and preferentially at low energies.

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

We consider the Hamiltonian reduction of the two-loop Wess-Zumino-Novikov-Witten model (WZNW) based on an untwisted affine Kac-Moody algebra script Ĝ. The resulting reduced models, called Generalized Non-Abelian Conformal Affine Toda (G-CAT), are conformally invariant and a wide class of them possesses soliton solutions; these models constitute non-Abelian generalizations of the conformal affine Toda models. Their general solution is constructed by the Leznov-Saveliev method. Moreover, the dressing transformations leading to the solutions in the orbit of the vacuum are considered in detail, as well as the τ-functions, which are defined for any integrable highest weight representation of script Ĝ, irrespectively of its particular realization. When the conformal symmetry is spontaneously broken, the G-CAT model becomes a generalized affine Toda model, whose soliton solutions are constructed. Their masses are obtained exploring the spontaneous breakdown of the conformal symmetry, and their relation to the fundamental particle masses is discussed. We also introduce what we call the two-loop Virasoro algebra, describing extended symmetries of the two-loop WZNW models.

Tau-functions and dressing transformations for zero-curvature affine integrable equations

The solutions of a large class of hierarchies of zero-curvature equations that includes Toda- and KdV-type hierarchies are investigated. All these hierarchies are constructed from affine (twisted or untwisted) Kac-Moody algebras g. Their common feature is that they have some special vacuum solutions corresponding to Lax operators lying in some Abelian (up to the central term) subalgebra of g; in some interesting cases such subalgebras are of the Heisenberg type. Using the dressing transformation method, the solutions in the orbit of those vacuum solutions are constructed in a uniform way. Then, the generalized tau-functions for those hierarchies are defined as an alternative set of variables corresponding to certain matrix elements evaluated in the integrable highest-weight representations of g. Such definition of tau-functions applies for any level of the representation, and it is independent of its realization (vertex operator or not). The particular important cases of generalized mKdV and KdV hierarchies as well as the Abelian and non-Abelian affine Toda theories are discussed in detail. © 1997 American Institute of Physics.

Resonance and chaos: I. First-order interior resonances

Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted threebody problem. The predicted widths of the resonances are compared with the results of numerical integrations using Poincaré surfaces of section with a mass ratio of 10-3 (similar to the Jupiter-Sun case). It is shown that for very low eccentricities the phase space between the 2:1 and 3:2 resonances is predominantly regular, contrary to simple theoretical predictions based on overlapping resonance. A numerical study of the 'evolution' of the stable equilibrium point of the 3:2 resonance as a function of the Jacobi constant shows how apocentric libration at the 2:1 resonance arises; there is evidence of a similar mechanism being responsible for the centre of the 4:3 resonance evolving towards 3:2 apocentric libration. This effect is due to perturbations from other resonances and demonstrates that resonances cannot be considered in isolation. On theoretical grounds the maximum libration width of first-order resonances should increase as the orbit of the perturbing secondary is approached. However, in reality the width decreases due to the chaotic effect of nearby resonances.

Electrodynamics of helium with retardation and self-interaction effects

We show that an extra constant of motion with an analytic form can exist in the neighborhood of some discrete circular orbits of helium when one includes retardation and self-interaction effects. The energies of these discrete stable circular orbits are in the correct atomic magnitude. The highest frequency in the stable manifold of one such orbit agrees with the highest frequency sharp line of parahelium to within 2%. The generic term of the frequency in the stable manifold to higher orbits is also in agreement with the asymptotic form of quantum mechanics for helium.

Influence of different routes of flush perfusion on the distribution of lung preservation solutions in parenchyma and airways

Objective: The present study was performed to investigate the influence of different routes of perfusion on the distribution of the preservation solutions in the lung parenchyma and upper airways. Methods: Pigs were divided into four groups: control (n = 6), pulmonary artery (PA) (n = 6), simultaneous PA + bronchial artery (BA) (n = 8), and retrograde delivery (n = 6). After preparation and cannulation, cardioplegia solution and Euro- Collins solution (ECS) for lung preservation were given simultaneously. After removal of the heart, the double lung bloc was harvested. Following parameters were assessed: total and regional perfusion (dye-labeled microspheres), tissue water content, PA, aorta, left atrial and left ventricular pressures, cardiac output and lung temperature. Results: Our data show that flow of the ECS in lung parenchyma did not reach control values (9.4 ± 1.0 ml/min per g lung wet weight) regardless of the route of delivery (PA 6.3 ± 1.5, PA + BA 4.8 ± 0.9, retrograde 2.7 ± 0.9 ml/min per g lung wet weight). However, flow in the proximal and distal trachea were significantly increased by PA + BA delivery (0.970 ± 0.4, respectively, 0.380 ± 0.2 ml/min per g) in comparison with PA (0.023 ± 0.007, respectively, 0.024 ± 0.070 ml/min per g), retrograde (0.009 ± 0.003, respectively, 0.021 ± 0.006 ml/min per g) and control experiments (0.125 ± 0.0018, respectively, 0.105 ± 0.012 ml/g per min). Similarly the highest flow rates in the right main bronchus were achieved by PA + BA delivery (1.04 ± 0.4 ml/min per g) in comparison with 0.11 ± 0.03 in control, 0.033 ± 0.008 in PA, and 0.019 ± 0.005 ml/min per g in retrograde group. Flows in the left main bronchus were 0.09 ± 0.02 ml/min per g in control, 0.045 ± 0.012 ml/min per g in PA, and 0.027 ± 0.006 ml/min per g in retrograde group. The flow rates were significantly (P = 0.001) increased by PA + BA delivery of the storage solution (0.97 ± 0.3 ml/min per g). Conclusions: Our data show that the distribution of ECS for lung preservation is significantly improved in airway tissues (trachea and bronchi) if a simultaneous PA + BA delivery is used.

Fock terms in the quark-meson coupling model

The mean field description of nuclear matter in the quark-meson coupling model is improved by the inclusion of exchange contributions (Fock terms). The inclusion of Fock terms allows us to explore the momentum dependence of meson-nucleon vertices and the role of pionic degrees of freedom in matter. It is found that the Fock terms maintain the previous predictions of the model for the in-medium properties of the nucleon and for the nuclear incompressibility. The Fock terms significantly increase the absolute values of the single-particle, four-component scalar and vector potentials, a feature that is relevant for the spin-orbit splitting in finite nuclei. © 1999 Elsevier Science B.V.

A theoretical study of the A2 ∑+-X2∏ system of the SiP molecule

The A2∑+ and Z2∏ electronic states of the SiP species have been investigated theoretically at a very high level of correlation treatment (CASSCF/MRSDCI). Very accurate potential energy curves are presented for both states, as well as the associated spectroscopic constants as derived from the vib-rotational energy levels determined by means of the numerical solution of the radial Schrödinger equation. Electronic transition moment function, oscillator strengths, Einstein coefficients for spontaneous emission, and Franck-Condon factors for the A2∑+-X2∏ system have been calculated. Dipole moment functions and radiative lifetimes for both states have also been determined. Spin-orbit coupling constants are also reported. The radiative lifetimes for the A2∑+ state, taking into account the spin-orbit diagonal correction to the X2∏ state, decrease from a value of 138 ms at v′ = 0 to 0.48 ms at v′ = 8, and, for the X2∏ state, from 2.32 s at v″ = 1 to 0.59 s at v″ = 5. Vibrational and rotational transitions are expected to be relatively strong.

Evaluation of lacrimal system outflow in the newborn by dye tests

PURPOSE: The aim of this study was to evaluate the outflow from the lacrimal excretory system (LES) at birth. METHOD: Two-hundred LES were evaluated by the Milder Test (DDT) and the modified Jones I Test (JIT) in 100 newborns (NBs) from 31 (T 1) until 42 (T 3) weeks of gestational age. The occurrence of obstruction was related to sex, weight at birth, presence of ocular discharge and the degree of maturity. RESULTS: Both tests were in agreement and showed LES obstruction in 61.5% (DDT) and 78.5% (JIT), respectively, while the LES outflow increased with increasing maturity. CONCLUSION: Evaluation of LES outflow at birth reveals obstruction rates that are much higher than those clinically observed in children with complaints of epiphora.

Long-term outcome of penile fracture treatment

Objectives: Penile fracture is a rare injury, usually resulting from direct trauma to the erect penis during sexual intercourse. Our goal was to evaluate the best diagnostic methods and the late complications following surgical treatment of penile fracture. Material and Methods: We studied retrospectively 11 patients with penile fracture in a period of 10 years (1985-1995). Results: In 55% of the cases, the injury occurred during sexual intercourse. All patients presented with a very suggestive clinical picture (pain, detumescence and hematoma) and only 2 were submitted to further investigation (ultrasonography) to confirm the diagnosis. Only one patient had urethral bleeding and therefore was submitted to retrograde urethrogram, which confirmed urethral injury. All patients were treated by immediate surgery, through a circular subcoronal incision and degloving of the penis to allow a thorough exploration. All patients had a tunica albuginea tear that was promptly repaired, and 2 patients (18%) had associated urethral injury (one had no symptoms) that was also repaired. All patients did very well after surgery and only one had a mild curvature, which did not hinder intercourse during follow-up (18 months). Conclusions: Penile fracture has very typical clinical signs and, therefore, further investigation is usually unnecessary. Early surgical treatment is associated with a low incidence of late complications.

Brazilian consensus on gastroesophageal reflux disease: Proposals for assessment, classification, and management

The Brazilian Consensus on Gastroesophageal Reflux Disease considers gastroesophageal reflux disease to be a chronic disorder related to the retrograde flow of gastroduodenal contents into the esophagus and/or adjacent organs, resulting in a variable spectrum of symptoms, with or without tissue damage. Considering the limitations of classifications currently in use, a new classification is proposed that combines three criteria - clinical, endoscopic, and pH-metric - providing a comprehensive and more complete characterization of the disease. The diagnosis begins with the presence of heartburn, acid regurgitation, and alarm manifestations (dysphagia, odynophagia, weight loss, GI bleeding, nausea and/or vomiting, and family history of cancer). Also, atypical esophageal, pulmonary, otorhinolaryngological, and oral symptoms may occur. Endoscopy is the first approach, particularly in patients over 40 yr of age and in those with alarm symptoms. Other exams are considered in particular cases, such as contrast radiological examination, scyntigraphy, manometry, and prolonged pH measurement. The clinical treatment encompasses behavioral modifications in lifestyle and pharmacological measures. Proton pump inhibitors in manufacturers' recommended doses are indicated, with doubling of the dose in more severe cases of esophagitis. The minimum time of administration is 6 wk. Patients who do not respond to medical treatment, including those with atypical manifestations, should be considered for surgical treatment. Of the complications of gastroesophageal reflux disease, Barrett's esophagus presents a potential development of adenocarcinoma; biopsies should be performed, independent of Barrett's esophagus extent or location. In this regard the designation short Barrett's is not important in terms of management and prognosis. © 2002 by Am. Coll. of Gastroenterology.