Eigenvectors of Baxter-Bazhanov-Stroganov \tau^{(2)}(t_q) model with fixed-spin boundary conditions

The aim of this contribution is to give the explicit formulas for the eigenvectors of the transfer-matrix of Baxter-Bazhanov-Stroganov (BBS) model (N-state spin model) with fixed-spin boundary conditions. These formulas are obtained by a limiting procedure from the formulas for the eigenvectors of periodic BBS model. The latter formulas were derived in the framework of the Sklyanin's method of separation of variables. In the case of fixed-spin boundaries the corresponding T-Q Baxter equations for the functions of separated variables are solved explicitly. As a particular case we obtain the eigenvectors of the Hamiltonian of Ising-like Z_N quantum chain model.Comment: 14 pages, paper submitted to Proceedings of the International Workshop "Classical and Quantum Integrable Systems" (Dubna, January, 2007

Сomposition and mineralogy of granitoids of the Ob-Zaisan folded region in the context of the prediction of groundwater radioactivity

The presented research is carried out in continuation of the works connected with studying the nature of radioactivity of drainage waters of quarries of Novosibirsk region, performed by the Laboratory of Hydrogeology of Sedimentary Basins of Siberia, INGG SB RAS, which showed that the waters of granite quarries are characterized by significantly higher radioactivity, than waters of other host rocks. The results of detailed mineralogical and geochemical studies of granitoids of the Ob-Zaisan region within the Kolyvan-Tom folded system are presented for the first time. The relevance of the present study is determined by the previously obtained data on high concentrations of uranium, thorium, and radon in drainage water of quarries developed in this territory. The granitoids of the Priobsky (Obsky and Novosibirsk massifs) and Barlak complexes were studied. It was established that the rocks of the complexes differ significantly in the spectrum of accessory minerals, which acted as the concentrators of natural radioactive and rare-earth elements: in the Barlak, in addition to apatite, sphene, and zircon, typical for all phases of the intrusion, fluorite, topaz, rutile, and minerals enriched with rare-earth elements are found: monazite, xenotime, bastnesite, parisite, less often uraninite. It was shown that a wide range of mineral-concentrators of radioactive and rare-earth elements determines higher concentrations of radionuclides in groundwater of the Barlak granitoid complex. Maximum uranium concentrations are one order of magnitude and those of thorium are two orders of magnitude higher in the groundwater of the Barlak granitoid complex compared to those of the Priobsky granitoid complex. The following peak concentrations, mg/dm3, were established in the groundwater of the studied granitoid complexes: 238U up to 1.40 and 232Th up to 2.16 · 10–3. One can predict a high background of radionuclides in the groundwater of the Barlak and Priobsky granitoid complexes, within the ranges, mg/dm3: 238U from 0.1 · 10–3 to 1.40 and 232Th from 1 · 10–6 to 2.16 · 10–3. Radon 222Rn activity in the groundwater ranges 1–50 Bq/dm3 in the contact zones of granitoids with different-aged sedimentary rocks to 600–5,000 Bq/dm3 in the areas of granitoids occurrence

Subjective Assessment of the Effective Contract Impact in Universities on Improving the Indicators of Lectures` Research Work

В предлагаемой исследовательской статье освещены результаты социологического опроса, направленного на изучение мнения профессорско-преподавательского состава о влиянии системы эффективного контракта на повышение показателей научно-исследовательской работы в вузах России и Белоруссии. Авторами анализируются зарубежные и российские оценки эффективности деятельности научно-педагогических работников. Дизайном выполненной работы явилось поперечное (одномоментное) исследование. В качестве объектов исследования были выбраны представители профессорско-преподавательского состава вуза, перешедшего на эффективный контракт (Северный государственный медицинский университет, Россия), и вузов, не перешедших на него (Тобольский пединститут им. Д. И. Менделеева – филиал ТюмГУ, Россия); Республиканский институт высшей школы и Белорусский государственный педагогический университет им. Максима Танка (Республика Беларусь). Общая численность респондентов – 395 человек. В качестве инструментария социологического исследования использовалась полуструктурированная анкета, разработанная Национальным исследовательским университетом «Высшая школа экономики». Исследование показало, что представители обеих групп были осведомлены о назначении эффективного контракта и частоте оценки критериев деятельности преподавателей для назначения им стимулирующих выплат. Респонденты из вузов, не перешедших на эффективный контракт, получают информацию о последнем из сети Интернет и имеют завышенный уровень ожиданий относительно своих будущих доходов. Респонденты из обеих групп подчеркнули важность определения наибольшего веса при расчете стимулирующих выплат за публикационную и грантовую активность и за участие в научных конференциях. Также установлено, что не все преподаватели готовы к выполнению изложенных в положениях эффективного контракта требований к научно-исследовательской работе, но отмечают позитивное влияние его внедрения на показатели научной деятельности. В группе респондентов из вузов, не перешедших на эффективный контракт, одна треть высказала сомнения в его существенном влиянии на повышение показателей научно-исследовательской работы. Данная статья будет полезна руководству вузов при расчете весовых коэффициентов по показателям и критериям оценки деятельности профессорско-преподавательского состава для назначения стимулирующих выплат. Интересным исследованием в дальнейшем может быть сравнение субъективных оценок, полученных в вузах, не использующих эффективный контракт, и после его внедрения в этих же учреждениях.Article shows the results of a sociological survey aimed at studying the opinion of the teaching staff on the impact of an effective contract on improving the research work indicators in universities in Russia and Belarus. The survey analyzes foreign and Russian evaluation of academic staff performance. A cross-sectional (single-point) study was the design. The focus of research was the academic staff of educational institutions that went over to an effective contract (Northern State Medical University, Russia) and without the implementation of an effective contract (Tobolsk Pedagogical Institute named after D. I. Mendeleev (branch) the University of Tyumen, Russia; National Institute for Higher Education and Belarusian State Pedagogical University named after Maxim Tank, Belarus), the overall number of respondents is 395. A semi-structured questionnaire created by the National Research University Higher School of Economics was used as a tool for sociological research. The study showed that both study groups are aware of an effective contract purpose and criteria evaluation frequency. Respondents from universities without an effective contract receive information from the Internet and have overestimated expectations of the future income level. Respondents of both groups underlined the importance of determining the greatest weight in calculating incentive payments for publication and grant activity, participation in scientific conferences. When implementing an effective contract, not all lecturers are ready to fulfill the criteria for research work, but they note the positive effect of its implementation on the indicators of scientific activity. In the group of respondents without an effective contract, one third expressed doubts about the significant impact of the implementation of an effective contract on improving the performance of research work. This article will be useful to the management of universities when calculating weighting coefficients according to indicators and criteria for evaluating the activities of the teaching staff for the appointment of incentive payments. An interesting study in the future may be a comparison of subjective assessments obtained in universities without an effective contract, and after its implementation in the same universities

Mellin−-Barnes Transformation for Two-Loop Master-Diagram

In the paper, we obtain an expression for a two-loop master-diagram by using the Mellin$-$Barnes transformation. In the two-dimensional case we managed to factorize the answer and write it as a bilinear combination of hypergeometric functions ${}_3F_2$