Estimates for eigenvalues of the Schr\"odinger operator with a complex potential

We study the distribution of eigenvalues of the Schr\"odinger operator with a complex valued potential $V$. We prove that if $|V|$ decays faster than the Coulomb potential, then all eigenvalues are in a disc of a finite radius

Absolutely continuous spectrum of Schrödinger operators with potentials slowly decaying inside a cone

AbstractFor a large class of multi-dimensional Schrödinger operators it is shown that the absolutely continuous spectrum is essentially supported by [0,∞). We require slow decay and mildly oscillatory behavior of the potential in a cone and can allow for arbitrary non-negative bounded potential outside the cone. In particular, we do not require the existence of wave operators. The result and method of proof extends previous work by Laptev, Naboko and Safronov

On the number of eigenvalues of Schrödinger operators with complex potentials

We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity

Device and software for mobile heart monitoring

This paper describes a new solution for mobile heart monitoring. This approach is based on the experience of ECG processing algorithms development for diagnostic purposes. The described approach allows developing a new mobile heart monitoring system consisting of ECG recording device, mobile computer (smartphone or tablet) and server (medical database). It is based on specially developed software components (microcontroller program, mobile computer client software and server software). ECG processing algorithms could be used offline without any communication with server. It lets mobile monitoring system inform the user about any signs of dangerous heart condition in ECG. Paper also describes experimental results of J-point detection, energy efficiency of the ECG device, wireless protocol bandwidth and contact break detection. They confirm the efficiency of the proposed technical approaches to mobile heart monitoring for wide range of applications from sports and fitness to monitoring for medical reasons

Intelligent Automated System of Controlled Synthesis of MAO-Coatings

An intelligent automated system that allows the controlled synthesis of protective oxide coatings using micro-arc oxidation has been developed. The hardware and software structure and knowledge bank, the information exchange principles between the component parts of the device, as well as the software operation algorithm are given. The considered system allows to establish the relationship between the technological process parameters of the micro-arc oxidation and the properties of the formed coatings. This intelligent system can be used both for scientific research and for production in order to optimize the technological modes of micro-arc treatment

Mobile ECG Monitoring Device with Bioimpedance Measurement and Analysis

The paper describes the improvement of a portable ECG device, which allows increasing the reliability of cardiovascular disease diagnosis using an electrocardiogram during ambulatory monitoring in conditions of free motion activity. The results of hardware and software development for correction of an ECG form are presented, which minimizes the loss of diagnostic information due to the distortion of the ECG form by the bioimpedance of the tissues and organs of the body that are located between the heart and electrodes of an ECG device. A portable ECG device with a bioimpedance measurement channel between the electrodes is described. The measurement channel includes a programmable computing device. Software provides calculation based on the measurement results of the bioimpedance components of the parameters of the parasitic electric filter, and synthesis of the transfer characteristic of the correction digital filter. The simulation results of the correction procedure of the ECG form in the TINA environment are presented. The simulation results show that the proposed solution can be used in portable heart monitoring systems