Kondo effect in the presence of spin-orbit coupling

We study the T=0 Kondo physics of a spin-1/2 impurity in a non-centrosymmetric metal with spin-orbit interaction. Within a simple variational approach we compute ground state properties of the system for an {\it arbitrary} form of spin-orbit coupling consistent with the crystal symmetry. This coupling produces an unscreened impurity magnetic moment and can lead to a significant change of the Kondo energy. We discuss implications of this finding both for dilute impurities and for heavy-fermion materials without inversion symmetry.Comment: TeXLive (Unix), revtex4-1, 5 page

Generalized Density Matrix Revisited: Microscopic Approach to Collective Dynamics in Soft Spherical Nuclei

The generalized density matrix (GDM) method is used to calculate microscopically the parameters of the collective Hamiltonian. Higher order anharmonicities are obtained consistently with the lowest order results, the mean field [Hartree-Fock-Bogoliubov (HFB) equation] and the harmonic potential [quasiparticle random phase approximation (QRPA)]. The method is applied to soft spherical nuclei, where the anharmonicities are essential for restoring the stability of the system, as the harmonic potential becomes small or negative. The approach is tested in three models of increasing complexity: the Lipkin model, model with factorizable forces, and the quadrupole plus pairing model.Comment: submitted to Physical Review C on 08 May, 201

Ethno-didactic specifics of training chinese students in the russian language: the experience of russian universities

The paper systematizes and generalizes the ethno-oriented experience of teaching Russian as a foreign language in the education systems of Russia and China. The number of foreign subjects wishing to study for a degree in Russia is now increasing; it is almost the same as it was before the perestroika times. The majority of foreign students come from China. In order to make the training effective, ethnic and cultural specifics should be taken into consideration in teaching Russian as a foreign languag

On the idempotents of Hecke algebras

We give a new construction of primitive idempotents of the Hecke algebras associated with the symmetric groups. The idempotents are found as evaluated products of certain rational functions thus providing a new version of the fusion procedure for the Hecke algebras. We show that the normalization factors which occur in the procedure are related to the Ocneanu--Markov trace of the idempotents.Comment: 11 page

Operator approach to analytical evaluation of Feynman diagrams

The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show that the known analytical methods of evaluation of massless Feynman integrals, such as the integration by parts method and the method of "uniqueness" (which is based on the star-triangle relation), can be drastically simplified by using this operator approach. To demonstrate the advantages of the operator method of analytical evaluation of multi-loop Feynman diagrams, we calculate ladder diagrams for the massless $\phi^3$ theory (analytical results for these diagrams are expressed in terms of multiple polylogarithms). It is shown how operator formalism can be applied to calculation of certain massive Feynman diagrams and investigation of Lipatov integrable chain model.Comment: 16 pages. To appear in "Physics of Atomic Nuclei" (Proceedings of SYMPHYS-XII, Yerevan, Armenia, July 03-08, 2006

Technology of forming the algorithmic culture of future teachers in the distance learning conditions

The article reviews the technology of forming the algorithmic culture of future teachers in the distance learning condition

Socio-Cultural Educational Environment of University as a Factor in the Development of Future Teacher’s Polysubjectness

The relevance of the research stems from the change in the role of a modern teacher, the transformation of the value foundations of the teaching profession, the complication of the teacher’s competencies. The process of professional training of a future teacher at university inevitably focuses on the development of his multidimensional subjective activity, which is characterized by the ability to choose options for achieving educational results, building life and professional prospects on their basis. In the context of modern scientific research, the concept of “teacher’s personality polysubjectness” is highlighted. An important factor in the development of the future teacher’s personality polysubjectness is the socio-cultural educational environment of university. The purpose of the study was to analyze the influence of the components of the socio-cultural educational environment of the university on the development of the future teacher’s polysubjectness. Methods of theoretical analysis, synthesis, generalization, self-assessment, and questionnaire were used in the work comprehensively. The research sample consisted of 328 1st-5th-year students of the Pedagogical Institute of the Belgorod National Research University majoring in “Pedagogical education”. Data collection was carried out in the 2020-2021 academic year. The reliability of the results was checked by methods of mathematical statistics (nonparametric Mann-Whitney test) using the IBM SPSS Statistics software package. Qualitative analysis of students’ reflexive judgments was also applied in understanding the phenomenon of polysubjectness and the role of university’s educational environment in its development. As a result of empirical research, it has been established that the multidimensional socio-cultural educational environment of the university is a determining developing factor influencing on changes in the structure of the future teacher’s personality polysubjectness. The university’s educational environment has the greatest influence on such components of polysubjectness as the ability to interact, emotional intelligence, situational leadership

Construction IF-scoring rule within the framework of new generation of metric citations

Basing on the scoring rule approach, there was designed a citation metrics, allowing for not only the number of author’s articles published and their citations but also the impact factors of journals in which the articles were published as well as the impact factors of journals with articles citing the autho

Priority Development Projects of the Arctic Zone. Reconstruction of the Northern Sea Way

The article describes Arctic zone and the significance of its resources for the Russian Federation and foreign countries. The basic strategic documents of the Arctic zone are listed. Priority projects for the development of the Arctic zone are considered. The reference zones of development in the Arctic and the influence of their formation on the macro region are analyzed. Areas of the main projects implemented or planned for implementation in the Arctic zone of the Russian Federation in percentage terms are presented. The state program of the Russian Federation «Socio-economic development of the Arctic zone of the Russian Federation», stages of implementation are considered. The main events of the VII International Forum «The Arctic: the present and the future» are revealed. The characteristic of the Northern Sea Route is given, its social and economic efficiency for the Russian Federation and the regions of the North is justified. The Northern Sea Route and the Southern Sea Route are compared. The criteria for increasing the carrying capacity of the Northern Sea Route are given. Areas of funding for improving the infrastructure of the region are indicated. The problem directions of the Northern Sea Route development have been identified: financial support for Northern Sea Route rehabilitation projects, political confrontation and a lack of qualified personnel. The characteristic of professional standards and their benefits for the enterprises of the region is presented. Recommendations are given on involving people in production and in the region