Towards Rigorous Derivation of Quantum Kinetic Equations

We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator. For initial states which are specified in terms of a one-particle density operator the equivalence of the description of the evolution of quantum many-particle states by the Cauchy problem of the quantum BBGKY hierarchy and by the Cauchy problem of the generalized quantum kinetic equation together with a sequence of explicitly defined functionals of a solution of stated kinetic equation is established in the space of trace class operators. The links of the specific quantum kinetic equations with the generalized quantum kinetic equation are discussed.Comment: 25 page

Particularities of gastroduodenal pathology in children, associated with cytotoxic CAGA-positive strains of Helicobacter pylori.

The aim of the study was to investigate the characteristics of inflammatory gastroduodenal diseases in children, associated with CagA-positive strains of H. pylori. We observed 283 children aged 7 to 17 years with chronic gastroduodenal pathology in exacerbation stage; endoscopic examination of the esophagus, stomach and duodenum was performed, total Ig M, A, G to Ag SagA H. pylori protein in blood serum by ELISA was determined. The study group included 156 patients infected with cytotoxic CagA (+) strains of H. pylori (H. pylori-positive status), comparison group - 59 (20,9%) patients with H. pylori-negative status. It was shown that 55.1% of patients observed were infected with cytotoxic CagA (+) strains of H. pylori. The intensity of clinical symptoms and the severity of inflammatory changes in stomach and duodenum mucosa in children with H. pylori infection is associated with cytotoxic strains of CAG A H. pylori. Presence of extensive gastritis (34,6%; p<0,05), lymphoid hyperplasia (16,0%; p <0,05), turbid mucus in the gastric lumen are the special features of endoscopic changes in children with H. pylori-positive status

The von Neumann Hierarchy for Correlation Operators of Quantum Many-Particle Systems

The Cauchy problem for the von Neumann hierarchy of nonlinear equations is investigated. One describes the evolution of all possible states of quantum many-particle systems by the correlation operators. A solution of such nonlinear equations is constructed in the form of an expansion over particle clusters whose evolution is described by the corresponding order cumulant (semi-invariant) of evolution operators for the von Neumann equations. For the initial data from the space of sequences of trace class operators the existence of a strong and a weak solution of the Cauchy problem is proved. We discuss the relationships of this solution both with the $s$-particle statistical operators, which are solutions of the BBGKY hierarchy, and with the $s$-particle correlation operators of quantum systems.Comment: 26 page

On the solutions of the nonlinear Liouville hierarchy

We investigate the initial-value problem of the non-linear Liouville hierarchy. For the general form of the interaction potential we construct an explicit solution in terms of an expansion over particle clusters whose evolution is described by the corresponding-order cumulant of evolution operators of a system of finitely many particles. For the initial data from the space of integrable functions the existence of a strong solution of the Cauchy problem is proved.Comment: 9 page

MOTIVATION OF STUDENTS TO LEARN: SOCIAL AND PSYCHOLOGICAL ASPECT

Now a serious social and psychological problem of motivation to training is the fact that students «at any cost» and on any terms are necessary for higher education institutions. Article is devoted to problems of studying of educational motivation of students. In it the used terms «motive» and «motivation» are analyzed and also results of an empirical research of motivation of students of the Russian higher education institutions are presented, some recommendations for students and teachers for the purpose of increase in educational motivation and, respectively, growth of effectiveness of process of training are formulated

Approximations of singular vertex couplings in quantum graphs

We discuss approximations of the vertex coupling on a star-shaped quantum graph of $n$ edges in the singular case when the wave functions are not continuous at the vertex and no edge-permutation symmetry is present. It is shown that the Cheon-Shigehara technique using $\delta$ interactions with nonlinearly scaled couplings yields a $2n$-parameter family of boundary conditions in the sense of norm resolvent topology. Moreover, using graphs with additional edges one can approximate the ${n+1\choose 2}$-parameter family of all time-reversal invariant couplings.Comment: LaTeX source file, 33 pages, with 3 eps figure

MOTIVATION OF STUDENTS TO LEARN: SOCIAL AND PSYCHOLOGICAL ASPECT

Now a serious social and psychological problem of motivation to training is the fact that students «at any cost» and on any terms are necessary for higher education institutions. Article is devoted to problems of studying of educational motivation of students. In it the used terms «motive» and «motivation» are analyzed and also results of an empirical research of motivation of students of the Russian higher education institutions are presented, some recommendations for students and teachers for the purpose of increase in educational motivation and, respectively, growth of effectiveness of process of training are formulated

PROBLEMS OF DEVIANT BEHAVIOR AMONG STUDENTS

The relevance of the study is in the changes that currently take place in all the spheres of modern Russian society and undermine the existing basis of life, disturb the equilibrium of the whole system. The greatest impact, and, above all negative, they have on the development of culture and spiritual life of young people. Currently, there is a tendency to «transform» education into a way of getting diplomas, high-paying job or a delay from the army, in other words, in a terminal value, which largely contributes to the development of specific deviations. The behavior of students during the learning process is closely linked with the importance of their higher education

PROBLEMS OF DEVIANT BEHAVIOR AMONG STUDENTS

The relevance of the study is in the changes that currently take place in all the spheres of modern Russian society and undermine the existing basis of life, disturb the equilibrium of the whole system. The greatest impact, and, above all negative, they have on the development of culture and spiritual life of young people. Currently, there is a tendency to «transform» education into a way of getting diplomas, high-paying job or a delay from the army, in other words, in a terminal value, which largely contributes to the development of specific deviations. The behavior of students during the learning process is closely linked with the importance of their higher education

STANDARD OF LIVING OF THE RUSSIAN POPULATION: FEATURES OF INTERREGIONAL DIFFERENTIATION DYNAMICS

The article presents the results of a study of the dynamics of indicators that characterize the standard of living of the population of Federal districts of Russia. The author hypothesizes that despite the growth in the values of indicators of the standard of living of the population of Federal districts for the period after 2010, there is a stable pattern of increasing their differentiation, and he has received its confirmation. This circumstance allowed usto determine the nature of changes and identify two groups of Federal districts that are moving away from each  other at an increasing rate in terms of the standard of living of the population. The analysis raises the issue of the  need to improve the state policy of Russia in order to enhance the standard of living of the population, ensure a balanced socio-economic development of regions and neutralize the negative consequences of their further  differentiation