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

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

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»)

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

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»)

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