Boundary relations and generalized resolvents of symmetric operators

The Kre\u{\i}n-Naimark formula provides a parametrization of all selfadjoint exit space extensions of a, not necessarily densely defined, symmetric operator, in terms of maximal dissipative (in \dC_+) holomorphic linear relations on the parameter space (the so-called Nevanlinna families). The new notion of a boundary relation makes it possible to interpret these parameter families as Weyl families of boundary relations and to establish a simple coupling method to construct the generalized resolvents from the given parameter family. The general version of the coupling method is introduced and the role of boundary relations and their Weyl families for the Kre\u{\i}n-Naimark formula is investigated and explained.Comment: 47 page

Effects of transient thermal shock loadings on the structure of zirconia ceramics

In this paper the influence of thermal shock loadings on the phase composition and microstructure of ZrO[2](Y[2]O[3]) and ZrO[2](MgO) ceramics was studied. It was found that thermal shock strains were no effect on phase composition of ZrO[2](Y[2]O[3]) ceramics. Reducing the concentration of high-temperature tetragonal t-ZrO[2] and cubic c-ZrO[2] modifications and rising the content of low-temperature monoclinic m-ZrO[2] crystal system with increasing the number of thermal shock strains were observed. The values of region coherent X-ray scattering of ZrO[2](Y[2]O[3]) ceramics didn't changed, while the crystallite size of ZrO[2](MgO) ceramics decreased. The formation of block structure in all studied ceramics was observed, the sizes of the blocks formed in the ZrO[2](Y[2]O[3]) and ZrO[2](MgO) ceramics were slightly different. The formation of the blocks in ZrO[2](Y[2]O[3]) ceramics occurred on the grain boundaries, while the crystallites in ZrO[2](MgO) ceramics were crushed due to phase transformation

Update of the Unitarity Triangle Analysis

We present the status of the Unitarity Triangle Analysis (UTA), within the Standard Model (SM) and beyond, with experimental and theoretical inputs updated for the ICHEP 2010 conference. Within the SM, we find that the general consistency among all the constraints leaves space only to some tension (between the UTA prediction and the experimental measurement) in BR(B -> tau nu), sin(2 beta) and epsilon_K. In the UTA beyond the SM, we allow for New Physics (NP) effects in (Delta F)=2 processes. The hint of NP at the 2.9 sigma level in the B_s-\bar B_s mixing turns out to be confirmed by the present update, which includes the new D0 result on the dimuon charge asymmetry but not the new CDF measurement of phi_s, being the likelihood not yet released.Comment: 4 pages, 2 figures, Proceedings of the 35th International Conference of High Energy Physics - ICHEP2010 (July 22-28, 2010, Paris

Spin-dependent recombination mechanisms for quintet bi-excitons generated through singlet fission

We investigate the physical mechanisms for spin-dependent recombination of a strongly bound pair of triplet excitons generated by singlet fission and forming a spin quintet (total spin of two) bi-exciton. For triplet excitons the spin-dependent recombination pathways can involve intersystem crossing or triplet-triplet annihilation back to the singlet ground state. However the modeling of spin-dependent recombination for quintets is still an open question. Here we introduce two theoretical models and compare their predictions with the broadband optically detected magnetic resonance spectrum of a long lived quintet bi-exciton with known molecular structure. This spectrum measures the change in the fluorescence signal induced by microwave excitation of each of the ten possible spin transitions within the quintet manifold as function of the magnetic field. While most of the experimental features can be reproduced for both models, the behavior of some of the transitions is only consistent with the quintet spin-recombination model inspired by triplet intersystem crossing which can reproduce accurately the experimental two-dimensional spectrum with a small number of kinetic parameters. Thus quantitative analysis of the broadband optically detected magnetic resonance signal enables quantitative understanding of the dominant spin-recombination processes and estimation of the out-of equilibrium spin populations.Comment: optimization code available at https://github.com/yneter/ampodm

Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.Comment: 81 pages, new references added, subsection 1.3 extended, typos correcte

PHARMACOECONOMICAL RESEARCH OF THE USE OF SORAFENIB IN MALIGNANT TUMORS

Purpose. Pharmacoeconomic rationale for the use of sorafenib in malignant tumors in comparison with drugs that are included in the list of pharmaceuticals to provide to certain categories of citizens.Method of the study. Pharmacoeconomic rationale for the use of sorafenib in this study is made by analyzing the impact on the budget. The calculated costs of treatment with sorafenib at a hypothetical group of 100 patients with metastatic renal cell carcinoma (MRCC), hepatocellular carcinoma (HCC) and differentiated thyroid cancer resistant to radioactive iodine (DCT). These costs were compared with costs of treatment of a similar group of 100 patients, with treatment of MRCC applied bevacizumab (original or generic) in combination with interferon α, and patients with HCC and DCT were excluded from receiving drugs from a program of providing with necessary medicines (PNM). As a result the potential economic effect of the inclusion of sorafenib in the list of PNM was calculated.Results. Treatment of MRCC is cheaper with the use of sorafenib compared to bevacizumab in combination with interferon α: savings is 592 878 rubles in the original use of bevacizumab and 274 976 rubles in the use of generic bevacizumab for one patient-year. If we use sorafenib in a group of 100 people with MRCC, HCC and DCT suitable for treatment with sorafenib, the overall expenses are more than 175 million rubles, while using the original combination of bevacizumab with interferon α – more than 204 million rubles, and in the application of the generic combination of bevacizumab with interferon α – more than 176 million rubles, while in the two last cases the treatment of patients with HCC and DCT is not carried out. The total amount of annual budget savings in the treatment of 100 patients is more than 28.5 million rubles at the account of original of bevacizumab or more than 1 million rubles in accounting of generic bevacizumab.Conclusion. The inclusion of the targeted drug sorafenib in the list of pharmaceuticals to provide certain categories of citizens is economically justified. The use of sorafenib, instead of the combination of bevacizumab + interferon-α in patients with MRCC gives us the opportunity to release the funds and provide a systemic treatment of patients with other malignancies (HCC, DCT) while reducing the burden on the budget

Информационные технологии расчета массово-инерционных характеристик сложного технического объекта

Запропонована методика розрахунку масово-інерційних характеристик СТВ, що основана на обробці даних моделей деталей в середовищі CATIA і використанні інтелектуальних технологій.The method of calculation of the weight–inertial characteristics of the difficult technician object is proposed in this article. This method is based on the processing of model data of details designed in the CATIA environment and using of the intellectual technologies.Предложена методика расчета массово–инерционных характеристик СТО, основанная на обработке данных моделей деталей в среде CATIA и использовании интеллектуальных технологий