Purity-bounded uncertainty relations in multidimensional space -- generalized purity

Uncertainty relations for mixed quantum states (precisely, purity-bounded position-momentum relations, developed by Bastiaans and then by Man'ko and Dodonov) are studied in general multi-dimensional case. An expression for family of mixed states at the lower bound of uncertainty relation is obtained. It is shown, that in case of entropy-bounded uncertainty relations, lower-bound state is thermal, and a transition from one-dimensional problem to multi-dimensional one is trivial. Results of numerical calculation of the relation lower bound for different types of generalized purity are presented. Analytical expressions for general purity-bounded relations for highly mixed states are obtained.Comment: 12 pages, 2 figures. draft version, to appear in J. Phys. A Partially based on a poster "Multidimensional uncertainty relations for states with given generalized purity" presented on X Intl. Conf. on Quantum Optics'2004 (Minsk, Belarus, May 30 -- June 3, 2004) More actual report is to be presented on ICSSUR-2005, Besan\c{c}on, France and on EQEC'05, Munich. V. 5: amended article after referees' remark

Operator pencils of the second order and linear fractional relations

The notions of a pencil of the second order and a linear fractional relation (LFR) are defined in spaces of linear bounded operators acting between Banach spaces. It is shown that these notions are closely connected with various theoretical and applied problems and have diverse applications. A number of the open problems, both for pencils and LFR, are posed in this paper. Some of the above problems are solved and applied to the study of dichotomic behavior of dynamical systems

Excitation of durable VHF oscillations in ferrite-filled coaxial lines

Effective methods are suggested for exciting gigahertz-range oscillations in coaxial lines that contain ferrite rings and isotropic material. Within the gyrotropic section, the primary pulsed waveform gets transformed from the TEM into a TM mode. Its further development is analyzed, following the results of real-life and numerical experiments. Special attention is paid to amplitude variations of the ТМ mode, owing to the nonlinear response of the ferrite.Пропонуються ефективні методи збудження осциляцій гігагерцевого діапазону в коаксіальних лініях, що містять уставки з феритових кілець та ізотропного матеріалу. У гіротропній частині лінії первинна імпульсна хвильова форма трансформується з моди ТЕМ у моду ТМ. Проаналізовано їх подальший розвиток за результатами відповідних натурних і числових експериментів. Особливої уваги приділено варіаціям амплітуди ТМ-моди, що пов’язані з нелінійністю електромагнітного відгуку фериту

New uncertainty relations for tomographic entropy: Application to squeezed states and solitons

Using the tomographic probability distribution (symplectic tomogram) describing the quantum state (instead of the wave function or density matrix) and properties of recently introduced tomographic entropy associated with the probability distribution, the new uncertainty relation for the tomographic entropy is obtained. Examples of the entropic uncertainty relation for squeezed states and solitons of the Bose--Einstein condensate are considered.Comment: 18 pages, 2 figures, to be published in European Physical Journal

Комплексное лечение больных с локализованными и местнораспространенными формами почечно-клеточного рака с применением предоперационной эмболизации

Background: Treatment of localized and locally advanced renal cancer is still of current importance. Subjects and methods: 100 cases of pT2, pT3a renal cell carcinoma were compared in 2 groups according to the treatment strategy: 1) patients who had received complex treatment (renal artery embolization and surgical treatment) (a study group) and 2) those who had been surgically treated (a control group). The criterion for efficiency was the median duration of relapse- free survival. Results: the median duration of relapse-free survival was 37 months in study group patients with pT2 disease and 39.5 months in the control group. The relapse-free survival varies greatly: 30.5 months in patients with pT3a in the study group and 16.5 months in the control group. Conclusion: The findings have led to the conclusion that it is necessary to make preoperative renal artery embolization in the complex treatment of patients with pT3a renal cell carcinoma.

ПОВЫШЕНИЕ ЭФФЕКТИВНОСТИ ЛЕЧЕНИЯ НЕМАТОДОЗОВ СВИНЕЙ

The results of improvement 7,5 % solutions of levamisol are stated at the main nematodosis of pigs. The drug in a doze of 7,5 mg/kg is effective, but toxic. To decrease its toxicity have added 1 % of crystal succinic acid that has allowed to increase efficiency on 2,8–8,6 % and to reduce toxicity.Изложены результаты работы по улучшению антигельминтных свойств 7,5%-ного раствора левамизола при основных нематодозах свиней. Препарат в дозе 7,5 мг/кг эффективен, но токсичен. У 20–25 % животных отмечают признаки токсикоза (мышечную дрожь, слюнотечение). Для снижения токсичности левамизола к нему добавили 1% кристаллической янтарной кислоты, что позволило повысить эффективность на 2,8–8,6 % и уменьшить токсичность

Dysarthria as a Cause of Hypotonic Dysphonia in Adolescents

В статье рассматривается патология голосового аппарата и причины развития гипотонусной дисфонии у подростков.The main tool of a person in society is a voice that makes communicative activity and social interaction possible. Dysphonia is a disorder of voice production, which impairs the quality of voice. Therefore, the responsibility for the formation of the voice function in adolescents with speech pathology falls on logopedists as specialists in the field of speech and voice production, and the prevention and treatment of voice disorders is carried out by a doctor-otorhinolaryngologist and/or phoniatrist