Quantum integrable systems in three-dimensional magnetic fields: the Cartesian case

In this paper we construct integrable three-dimensional quantum-mechanical systems with magnetic fields, admitting pairs of commuting second-order integrals of motion. The case of Cartesian coordinates is considered. Most of the systems obtained are new and not related to the separation of variables in the corresponding Schr\"odinger equation.Comment: 8 page

On the inverse problem of magnetostatics

This work is devoted to solving the inverse problem of the magnetic method for nonde- structive testing (MMNDT). The purpose of the work, frankly speaking and avoiding complicated concepts and formulas, is to identify research directions in MMNDT that would approach solution of the inverse problem in the field of magnetic defectoscopy to the highest extent. © 2013 Pleiades Publishing, Ltd

Main features of distributions of the magnetic flux leakage fields of defects different shapes

The features of topography of the magnetic fields of various defects are considered using the finite element method (FEM). The distinctive attributes of these defects are identified and some recommendations are given on determining different types of defects. It is shown that extremes of the normal component of the magnetic field created by defects are closely connected with an orientation and an angle of inclination of a defect in a plate. An approach for estimating this angle of inclination of surface defects and extended subsurface defects is proposed. © Published under licence by IOP Publishing Ltd.Ministry of Science and Higher Education of the Russian FederationThe research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (theme «Diagnostics» No. АААА-А18-118020690196-3)

Highly effective system for excitation and reception of Lamb waves in ferromagnets

The paper presents the concept of a highly efficient system for excitation and reception of Lamb waves in ferromagnets. Methods for creating large polarizing fields allowing to increase the efficiency of generation and reception of Lamb waves in ferromagnets and the principles of unidirectional electromagnetic-acoustic transducers are proposed. The results obtained in this work can be used in the development of devices for non-destructive testing of the long ferromagnetic objects. © Published under licence by IOP Publishing Ltd

STUDY OF NON-LINEAR EMAT EFFECTIVENESS

EMAT is perspective kind of non-destructive testing. However, linear EMAT effectiveness is very low and it is necessary to increase it in many times. For this purposes non-linear EMAT is used. Non-linear EMAT effectiveness was studied in comparison with linear EMAT effectiveness

Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics

Symmetric informationally complete positive operator valued measures (SIC-POVMs) are studied within the framework of the probability representation of quantum mechanics. A SIC-POVM is shown to be a special case of the probability representation. The problem of SIC-POVM existence is formulated in terms of symbols of operators associated with a star-product quantization scheme. We show that SIC-POVMs (if they do exist) must obey general rules of the star product, and, starting from this fact, we derive new relations on SIC-projectors. The case of qubits is considered in detail, in particular, the relation between the SIC probability representation and other probability representations is established, the connection with mutually unbiased bases is discussed, and comments to the Lie algebraic structure of SIC-POVMs are presented.Comment: 22 pages, 1 figure, LaTeX, partially presented at the Workshop "Nonlinearity and Coherence in Classical and Quantum Systems" held at the University "Federico II" in Naples, Italy on December 4, 2009 in honor of Prof. Margarita A. Man'ko in connection with her 70th birthday, minor misprints are corrected in the second versio

Method for Preparing Samples of Bearing Steel Grade ShKh15SG for Metallographic Studies

This paper describes a technique for preparing the surface of ShKh15SG samples for metallographic studies, which includes the stages of grinding and polishing.Работа выполнена в рамках Г.р.№ АААА-А18-118020690196-3 (шифр «Диагностика»)

DEVELOPMENT OF A MAGNETIZING SYSTEM WITH FERROMAGNETIC WHEELS FOR MAGNETIC FLAW DETECTORS OF DRILL PIPES

This paper presents the development and design of a magnetization system for magnetic drill pipe flaw detectors, which integrates ferromagnetic wheels that are in contact with the test object (drill pipe wall).Работа выполнена в рамках Г.р.№ АААА-А18-118020690196-3 (шифр «Диагностика»)

DETERMINING THE APPLICATION AREA OF THE TECHNIQUE FOR SOLVING THE INVERSE GEOMETRIC PROBLEM OF MAGNETOSTATICS FOR SURFACE DEFECTS OF A FERROMAGNET

Magnetic flux in a ferromagnetic plate containing a defect under its tangential magnetization is considered. Magnetic flux is the key that determines the size of defects for which the inverse geometric problem can be solved by present methodology. Results of numerical experiments are presented.Работа выполнена в рамках государственного задания по теме «Диагностика», № AAAA-A18-118020690196-3

Algbrodynamics over complex space and phase extension of the Minkowski geometry

First principles should predetermine physical geometry and dynamics both together. In the "algebrodynamics" they follow solely from the properties of the biquaternion algebra \B and the analysis over \B. We briefly present the algebrodynamics on the Minkowski background based on a nonlinear generalization to \B of the Cauchi-Riemann analyticity conditions. Further, we consider the effective real geometry uniquely resulting from the structure of multiplication in \B which turns out to be of the Minkowski type, with an additional phase invariant. Then we pass to study the primordial dynamics that takes place in the complex \B space and brings into consideration a number of remarkable structures: an ensemble of identical correlated matter pre-elements ("duplicons"), caustic-like signals (interaction carriers), a concept of random complex time resulting in irreversibility of physical time at a macrolevel, etc. In partucular, the concept of "dimerous electron" naturally arises in the framework of complex algebrodynamics and, together with the above-mentioned phase invariant, allows for a novel approach to explanation of quantum interference phenomena alternative to the recently accepted paradigm of wave-particle dualism.Comment: 14 pages, twocolum