109 research outputs found

    Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems

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    We propose the integrable (pseudo)spherical generalization of the four-dimensional anisotropic oscillator with additional nonlinear potential. Performing its Kustaanheimo-Stiefel transformation we then obtain the pseudospherical generalization of the MICZ-Kepler system with linear and cosθ\cos\theta potential terms. We also present the generalization of the parabolic coordinates, in which this system admits the separation of variables. Finally, we get the spherical analog of the presented MICZ-Kepler-like system.Comment: 7 page

    Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere

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    Using the second Hopf map, we perform the reduction of the eight-dimensional (pseudo)spherical (Higgs)oscillator to a five-dimensional system interacting with a Yang monopole. Then, using a standard trick, we obtain, from the latter system, the pseudospherical and spherical generalizations of the Yang-Coulomb system (the five dimensional analog of MICZ-Kepler system). We present the whole set of its constants of motions, including the hidden symmetry generators given by the analog of Runge-Lenz vector. In the same way, starting from the eight-dimensional anisotropic inharmonic Higgs oscillator, we construct the integrable (pseudo)spherical generalization of the Yang-Coulomb system with the Stark term.Comment: 10 pages, PACS: 03.65.-w, 02.30.Ik, 14.80.H

    3D Oscillator and Coulomb Systems reduced from Kahler spaces

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    We define the oscillator and Coulomb systems on four-dimensional spaces with U(2)-invariant Kahler metric and perform their Hamiltonian reduction to the three-dimensional oscillator and Coulomb systems specified by the presence of Dirac monopoles. We find the Kahler spaces with conic singularity, where the oscillator and Coulomb systems on three-dimensional sphere and two-sheet hyperboloid are originated. Then we construct the superintegrable oscillator system on three-dimensional sphere and hyperboloid, coupled to monopole, and find their four-dimensional origins. In the latter case the metric of configuration space is non-Kahler one. Finally, we extend these results to the family of Kahler spaces with conic singularities.Comment: To the memory of Professor Valery Ter-Antonyan, 11 page

    The Coulomb-Oscillator Relation on n-Dimensional Spheres and Hyperboloids

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    In this paper we establish a relation between Coulomb and oscillator systems on nn-dimensional spheres and hyperboloids for n2n\geq 2. We show that, as in Euclidean space, the quasiradial equation for the n+1n+1 dimensional Coulomb problem coincides with the 2n2n-dimensional quasiradial oscillator equation on spheres and hyperboloids. Using the solution of the Schr\"odinger equation for the oscillator system, we construct the energy spectrum and wave functions for the Coulomb problem.Comment: 15 pages, LaTe

    Large aperture vibrating wire monitor with two mechanically coupled wires for beam halo measurements

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    Development of a new type of vibrating wire monitor (VWM), which has two mechanically coupled wires (vibrating and target), is presented. The new monitor has a much larger aperture size than the previous model of the VWM, and thus allows us to measure transverse beam halos more effectively. A prototype of such a large aperture VWM with a target wire length of 60 mm was designed, manufactured, and bench-tested. Initial beam measurements have been performed at the Fermilab High Intensity Neutrino Source facility, and key results are presented.open1

    Sex-specific efficacy and safety of cryoballoon versus radiofrequency ablation for atrial fibrillation: An individual patient data meta-analysis

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    BACKGROUND: Atrial fibrillation (AF) is a growing health burden, and pulmonary vein isolation (PVI) using cryoballoon (CB) or radiofrequency (RF) represents an attractive therapeutic option. Sex-specific differences in the epidemiology, pathophysiology, and clinical presentation of AF and PVI are recognized. OBJECTIVE: We aimed at comparing the efficacy, safety, and procedural characteristics of CB and RF in women and men undergoing a first PVI procedure. METHODS: We searched for randomized controlled trials and prospective observational studies comparing CB and RF ablation with at least 1 year of follow-up. After merging individual patient data from 18 data sets, we investigated the sex-specific (procedure failure defined as recurrence of atrial arrhythmia, reablation, and reinitiation of antiarrhythmic medication), safety (periprocedural complications), and procedural characteristics of CB vs RF using Kaplan-Meier and multilevel models. RESULTS: From the 18 studies, 4840 men and 1979 women were analyzed. An analysis stratified by sex correcting for several covariates showed a better efficacy of CB in men (hazard ratio for recurrence 0.88; 95% confidence interval 0.78-0.98, P = .02) but not in women (hazard ratio 0.98; 95% confidence interval 0.83-1.16; P = .82). For women and men, the energy source had no influence on the occurrence of at least 1 complication. For both sexes, the procedure time was significantly shorter with CB (-22.5 minutes for women and -27.1 minutes for men). CONCLUSION: CB is associated with less long-term failures in men. A better understanding of AF-causal sex-specific mechanisms and refinements in CB technologies could lead to higher success rates in women

    Factors affecting the results of analgesic therapy. Results of the Russian multicentre study of NOTE (NSAID: Open-label Trial of Efficacy)

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    Non-steroidal anti-inflammatory drugs (NSAIDs) are most popular medications for the treatment of pain in common musculoskeletal diseases such as osteoarthritis (OA) and non-specific low back pain (LBP). However, the factors affecting the effectiveness of these drugs have not been determined fully. Aim: to identify factors affecting the effectiveness of NSAIDs in patients with OA and LBP. Materials and methods. An observational study was conducted to evaluate the effectiveness of a 2-week course of NSAIDs in OA and LBP in real clinical practice. The study group consisted of 3604 patients with OA and LBP (60.6% women and 39.4% men, mean age 55.0±13.4 years). According to the study design, aceclofenac (Airtal) and other NSAIDs used in the ratio 1:1. The main criterion of effectiveness was the frequency of complete pain relief after 2 weeks of therapy. In addition, the decrease of pain and general health were determined on a 10-point numerical rating scale (NRS). We compared the frequency of complete pain relief in patients who had and did not have the studied factors. The value of the studied factors was determined using OR (95% CI). Results and discussion. Most patients received aceclofenac (54.9%), as well as diclofenac (2.0%), ketoprofen (1.9%), lornoxicam (2.2%), meloxicam (13.7%), naproxen (2.1%), nimesulide (5.8%), celecoxib (5.9%), ethicoxib (7.1%) and other NSAIDs (4.4%); 56.2% of patients received muscle relaxants, mainly tolperisone (74.7%), vitamin B (10.4%), and proton pump inhibitors (42.8%). Complete pain relief was achieved in 54.8% of patients. The pain decrease and general health improvement were (for NRS) 63.9±13.4% and 61.7±14.8%, respectively. The efficacy of aceclofenac was slightly higher than in the whole group: complete pain relief was in 59.9% of patients. Adverse events in aceclofenac use were observed in 2.3% of patients, other NSAIDs-from 2.4 to 14.1%. The frequency of complete pain relief was higher in men: OR 1,239 (95% CI 1.08-1.418; p=0.002), who had the first episode of pain - OR 3.341 (95% CI 2.873-3.875; p=0.000), a good" response " to NSAIDs in history - OR 1.656 (95% CI 1.385-1.980; p=0.000) and received NSAIDs in combination with muscle relaxants - OR 1.218 (95% CI 1.067-1.390; p=0.004). The effect of therapy is lower in patients 65 years and older-OR 0,378 (95% CI 0.324-0.442; p=0,000), with body mass index >30 kg/m² - OR 0.619 (95% CI 0.529-0.723; p=0.000), with severe pain (≥7 points NRS) - OR 0.662 (95% CI 0.580-0.756; p=0.002), with pain at rest, - OR 0.515 (95% CI 0.450-0,589; p=0.000), pain at night - OR 0.581 (95% CI 0.501-0.672; p=0.000) and the presence of stiffness - OR 0.501 (95% CI 0.438-0,573; p=0.000). Treatment results are significantly worse in the cases of combination of LBP and joint pain, as well as pain in the trochanter major and pes anserinus area (

    CRYOBALLOON ABLATION IN RUSSIAN SITES OF INTERVENTIONAL ATRIAL FIBRILLATION MANAGEMENT TREATMENT: RESULTS OF THE FIRST NATIONWIDE SURVEY

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    Aim. The results of cryoballoon ablation (CBA) are known from the studies performed in the experienced centers of catheter treatment of atrial fibrillation (AF). The current study presents the results of CBA in real practice in centers with various experienceMaterial and methods. Among 62 Russian sites performing catheter treatment of AF, in 15 the CBA methods were in use to isolate pulmonary veins, in the years 2012-2014. Centers staff were surveyed for the detailed description of all performed CBA till 10.2014. The questionnaire included 74 lines about the centers experience, patients properties and ablation procedures, management of patients and complications. At the second step the questionnaire was used about complications.Results. Thirteen centers provided full data on all patients with CBA (457 procedures; 94% for paroxysmal AF; >95% CBAs in Russia). Six centers were marked as highly experienced for CBA for AF (mean 414,2±339,4 ablations for AF per year), and 7 — with lesser experience (33,2±34,3 ablations for AF per year). Ten centers provided the results of 6/12 month observation, and 11 centers — detalization of the complications data. there were no statistically significant differences in arrhythmia absence in patients from both types of centers (61,9±10,0 versus 61,3±30,4%). Serious complications developed in 1,5% of patients (4 tamponades, 2 strokes and 1 diaphragmal nerve palsy) and were similarly spread among more and less experienced centers (1,4% vs. 2%, p>0,05). Minor adverse events (vascular, transient diaphragm nerve palsy, transient hemoptysis) were found in 37 (8%) patients and were more common in more experienced (teaching) centers. Overall frequency of adverse events and of vascular events was higher in females than males (12% and 4,9% vs. 6% and 0%, resp.; p<0,05).Conclusion. In the real clinical practice CBA is performed with acceptable efficacy and moderate frequency of adverse events development. In less experienced centers of catheter treatment of AF the prevalence of serious adverse events does not differ from less experienced. Women develop vascular complications more often

    Massless geodesics in AdS5×Y(p,q)AdS_5\times Y(p,q) as a superintegrable system

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    A Carter like constant for the geodesic motion in the Y(p,q)Y(p,q) Einstein-Sasaki geometries is presented. This constant is functionally independent with respect to the five known constants for the geometry. Since the geometry is five dimensional and the number of independent constants of motion is at least six, the geodesic equations are superintegrable. We point out that this result applies to the configuration of massless geodesic in AdS5×Y(p,q)AdS_5\times Y(p,q) studied by Benvenuti and Kruczenski, which are matched to long BPS operators in the dual N=1 supersymmetric gauge theory.Comment: 20 pages, no figures. Small misprint is corrected in the Killing-Yano tensor. No change in any result or conclusion
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