Preparation of interactive educational and methodical providing: look from the student, from the teacher and from the developer

There is analysed some experience of chair of Applied mathematics of the Ural state economic university in the area of development and using the interactive educational and methodical providing.В работе проанализирован опыт кафедры Прикладной математики Уральского государственного экономического университета в области разработки и использования интерактивного учебно-методического обеспечения

Multitemporal generalization of the Tangherlini solution

The n-time generalization of the Tangherlini solution [1] is considered. The equations of geodesics for the metric are integrated. For $n = 2$ it is shown that the naked singularity is absent only for two sets of parameters, corresponding to the trivial extensions of the Tangherlini solution. The motion of a relativistic particle in the multitemporal background is considered. This motion is governed by the gravitational mass tensor. Some generalizations of the solution, including the multitemporal analogue of the Myers-Perry charged black hole solution, are obtained.Comment: 14 pages. RGA-CSVR-005/9

One-Dimensional Discrete Stark Hamiltonian and Resonance Scattering by Impurities

A one-dimensional discrete Stark Hamiltonian with a continuous electric field is constructed by extension theory methods. In absence of the impurities the model is proved to be exactly solvable, the spectrum is shown to be simple, continuous, filling the real axis; the eigenfunctions, the resolvent and the spectral measure are constructed explicitly. For this (unperturbed) system the resonance spectrum is shown to be empty. The model considering impurity in a single node is also constructed using the operator extension theory methods. The spectral analysis is performed and the dispersion equation for the resolvent singularities is obtained. The resonance spectrum is shown to contain infinite discrete set of resonances. One-to-one correspondence of the constructed Hamiltonian to some Lee-Friedrichs model is established.Comment: 20 pages, Latex, no figure

Manifestation of the bulk phase transition in the edge energy spectrum in a two dimensional bilayer electron system

We use a quasi-Corbino sample geometry with independent contacts to different edge states in the quantum Hall effect regime to investigate the edge energy spectrum of a bilayer electron system at total filling factor $\nu=2$. By analyzing non-linear $I-V$ curves in normal and tilted magnetic fields we conclude that the edge energy spectrum is in a close connection with the bulk one. At the bulk phase transition spin-singlet - canted antiferromagnetic phase $I-V$ curve becomes to be linear, indicating the disappearance or strong narrowing of the $\nu=1$ incompressible strip at the edge of the sample.Comment: 5 pages, 5 figure

Модели-полиады и их применение в обучении математике

Considered systems of models, called models-polyads. Components of the model-polyads are various models of a prototype object, describing the same its properties, and the exchange of information between the components of the modelpolyads occurring without distorting the information. The examples of modelspolyads, in particular, shows that in the form of models-polyads are the algebra of geometric vectors, algebra of complex numbers, etc. There are highlights the benefits of studying the objects in the form of models-polyads, and especially in the case of training, when the objects under study are presented in a models-polyads.Рассматриваются системы моделей, называемые моделями-полиадами. Компонентами модели-полиады (в частности, модели-диады, модели-триады) являются различные модели некоторого объекта- прототипа, описывающие одни и те же его особенности, причем обмен информацией между компонентами модели-полиады, происходящий без искажения этой информации. Приведены примеры моделей-полиад, в частности, показано, что в виде моделей-полиад представлены векторная алгебра, алгебра комплексных чисел и др. Выделены преимущества изучения объектов, представленных в виде моделей-полиад, и особенности обучения в случае, когда изучаемые объекты представлены в виде моделей-полиад

Final State Radiative Effects for the Exact O(alpha) YFS Exponentiated (Un)Stable W+W- Production At and Beyond LEP2 Energies

We present the LL final state radiative effects for the exact O(alpha) YFS exponentiated (un)stable WW pair production at LEP2/NLC energies using Monte Carlo event generator methods. The respective event generator, version 1.12 of the program YFSWW3, wherein both Standard Model and anomalous triple gauge boson couplings are allowed, generates n(\gamma) radiation both from the initial state and from the intermediate W+ W- and generates the LL final state W decay radiative effects. Sample Monte Carlo data are illustrated.Comment: 16 pages, 8 figures, 2 table

Limits on the Majorana neutrino mass in the 0.1 eV range

The Heidelberg-Moscow experiment gives the most stringent limit on the Majorana neutrino mass. After 24 kg yr of data with pulse shape measurements, we set a lower limit on the half-life of the neutrinoless double beta decay in 76Ge of T_1/2 > 5.7 * 10^{25} yr at 90% C.L., thus excluding an effective Majorana neutrino mass greater than 0.2 eV. This allows to set strong constraints on degenerate neutrino mass models.Comment: 6 pages (latex) including 3 postscript figures and 2 table

Beam Test Results of the LHCb Electromagnetic Calorimeter.

The main properties of the LHCb electromagnetic calorimeter and a prototype of the monitoring system was studied at the X7 CERN test-beam facility. A dedicated MC simulation for light propagation in the scintillator tiles was developed and tuned with experimental data