Wave Functions and Energy Terms of the SCHR\"Odinger Equation with Two-Center Coulomb Plus Harmonic Oscillator Potential

Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form.Comment: 4 pages, no figures, LaTeX, submitted to PR

On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

On integration of the Kowalevski gyrostat and the Clebsch problems

For the Kowalevski gyrostat change of variables similar to that of the Kowalevski top is done. We establish one to one correspondence between the Kowalevski gyrostat and the Clebsch system and demonstrate that Kowalevski variables for the gyrostat practically coincide with elliptic coordinates on sphere for the Clebsch case. Equivalence of considered integrable systems allows to construct two Lax matrices for the gyrostat using known rational and elliptic Lax matrices for the Clebsch model. Associated with these matrices solutions of the Clebsch system and, therefore, of the Kowalevski gyrostat problem are discussed. The Kotter solution of the Clebsch system in modern notation is presented in detail.Comment: LaTeX, 24 page

Quantum tops as examples of commuting differential operators

We study the quantum analogs of tops on Lie algebras $so(4)$ and $e(3)$ represented by differential operators.Comment: 24 p

Historiography of youth associations of Finno-Ugric people in Russia (at the end of 20th – beginning of 21st century)

This work gives an analysis of major resources concerning youth associations of Finno-Ugric people of the end of the 20th and the beginning of the 21st century. Resource base offers the possibility to study the process of development of Finno-Ugric people cooperation regarding youth policy, its characteristic features and set out questions that need further studying.  The work has its practical implications. The main provisions of the work can be used as a base for further researches of this range of problems

Historiography of youth associations of Finno-Ugric people in Russia (at the end of 20th – beginning of 21st century)

This work gives an analysis of major resources concerning youth associations of Finno-Ugric people of the end of the 20th and the beginning of the 21st century. Resource base offers the possibility to study the process of development of Finno-Ugric people cooperation regarding youth policy, its characteristic features and set out questions that need further studying.  The work has its practical implications. The main provisions of the work can be used as a base for further researches of this range of problems