On the Proof by Reductio ad Absurdum of the Hohenberg-Kohn Theorem for Ensembles of Fractionally Occupied States of Coulomb Systems

It is demonstrated that the original reductio ad absurdum proof of the generalization of the Hohenberg-Kohn theorem for ensembles of fractionally occupied states for isolated many-electron Coulomb systems with Coulomb-type external potentials by Gross et al. [Phys. Rev. A 37, 2809 (1988)] is self-contradictory since the to-be-refuted assumption (negation) regarding the ensemble one-electron densities and the assumption about the external potentials are logically incompatible to each other due to the Kato electron-nuclear cusp theorem. It is however proved that the Kato theorem itself provides a satisfactory proof of this theorem.Comment: 9 pages. Int. J. Quantum Chem., to appea

On the Original Proof by Reductio ad Absurdum of the Hohenberg-Kohn Theorem for Many-Electron Coulomb Systems

It is shown that, for isolated many-electron Coulomb systems with Coulombic external potentials, the usual reductio ad absurdum proof of the Hohenberg-Kohn theorem is unsatisfactory since the to-be-refuted assumption made about the one-electron densities and the assumption about the external potentials are not compatible with the Kato cusp condition. The theorem is, however, provable by more sophisticated means and it is shown here that the Kato cusp condition actually leads to a satisfactory proof.Comment: 14 pages. Int. J. Quantum Chem. to appea

Specificity of human resources management in networked hotels of Ekaterinburg in modern conditions

The hotels of international hotel chains represented in Ekaterinburg make high requirements on the staff in accordance with international standards. Analysis of vacancies shows that the level of wages of line staff, mainly administrators of the reception, not quite corresponds to the volume of their responsibilities and requirements for candidates for the post. In comparison with the level of salary of relevant staff of local hotels, hotel chains salary is significantly lower, while personnel requirements are much higher. HR-departments provided by international standards have been reduced to one officer or eliminated because of the crisis of 2008-2009 and nowadays and because their content is very costly. Responsibility for the selection and training of staff at the same time borne by the line management department, which reduces the efficiency of this work.В отелях международных гостиничных цепей, представленных в Екатеринбурге, предъявляются высокие требования к персоналу в соответствии с мировыми стандартами. Анализ вакансий показывает, что уровень заработных плат линейного персонала, главным образом администраторов службы приема и размещения, не вполне соответствует объему их обязанностей и требований к кандидатам на соответствующие должности. В сравнении с уровнем оплаты труда соответствующих сотрудников местных отелей, зарплаты в сетевых отелях значительно ниже, тогда как требования к персоналу значительно выше. Предусмотренные международными стандартами службы управления человеческими ресурсами в связи с кризисом 2008-2009 годов и в настоящее время сокращаются до одного сотрудника, либо полностью устраняются, поскольку их содержание очень затратно. Обязанности по подбору и обучению персонала при этом ложатся на линейных руководителей отделом, что снижает эффективность данной работы

1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem

Interrelation of the Coleman's representabilty theory for 1-density operators and abstract algebraic form of the Hohenberg-Kohn theorem is studied in detail. Convenient realization of the Hohenberg-Kohn set of classes of 1-electron operators and the Coleman's set of ensemble representable 1-density operators is presented. Dependence of the Hohenberg-Kohn class structure on the boundary properties of the ground state 1-density operator is established and is illustrated on concrete simple examples. Algorithm of restoration of many electron determinant ensembles from a given 1-density diagonal is described. Complete description of the combinatorial structure of Coleman's polyhedrons is obtained.Comment: AMSLaTex, 37 pages, 4 figures, 1 tabl

New Cataclysmic Variable 1RXS J073346.0+261933 in Gemini

In course of the search for the optical identifications associated with ROSAT X-ray sources we have found a highly variable object with the very unusual long-term behavior, color indices and high X-ray-to-optical flux ratio. We report the archival photometric light curve from the Catalina Sky Survey, optical spectroscopy from RTT150 and time-resolved photometry from Astrotel-Caucasus telescope. The object appears to be the magnetic cataclysmic variable (polar) with orbital period of P=3.20 hr.Comment: 8 pages, 5 figures. Submitted to Astronomy Letter

Ментальные детерминанты нормативных и дисфункциональных состояний социальной системы

Стаття присвячена дослідженню ментальних детермінант нормативних та дисфункціональних станів соціальної системи. Проаналізовано основні їх особливості та розглянуто проблему збереження самоідентичності соціуму в умовах сучасності.The article is devoted to the research of the normative and dysfunctional states’ mental determinants of the social system. Their main features are analyzed and the problem of the society’s self-identity maintaining is considered.Статья посвящена исследованию ментальных детерминант нормативных и дисфункциональных состояний социальной системы. Проанализировано основные их особенности и рассмотрена проблема сохранения самоидентичности нации в условиях современности

Ab initio water hexamers and octamers: tool to study hydrogen-bonded pattern in liquid water

Fourteen different structures of water hexamer found ab initio within a 6- 311G** basis set in the interval of 1.7 kcal/mol above the global minimum represent an unprecedently wide range of conformational plasticity of liquid water. The present work also provides the first ab initio demonstration of the existence of pentacoordinated water clusters.Чотирнадцять різних структур гексамера води, які знайдені методом ab initio в базисі 6-311G** в інтервалі 1.7 kcal/mol вище глобального мінімуму, є безпрецедентним прикладом високої конформаційної пластичності рідкої води. Дана робота також вперше демонструє існування пентакоординаційних кластерів води на рівні прецизійних ab initio розрахунків