Supersymmetry of a Nonstationary Pauli Equation

The supersymmetry of the electron in both the nonstationary magnetic and electric fields in a two-dimensional case is studied. The supercharges which are the integrals of motion and their algebra are established. Using the obtained algebra the solutions of nonstationary Pauli equation are generated.Comment: 12 pages, Late

Scattering problem in deformed space with minimal length

We investigated the elastic scattering problem with deformed Heisenberg algebra leading to the existence of a minimal length. The continuity equations for the moving particle in deformed space were constructed. We obtained the Green's function for a free particle, scattering amplitude and cross-section in deformed space. We also calculated the scattering amplitudes and differential cross-sections for the Yukawa and the Coulomb potentials in the Born approximation.Comment: 9 pages, 1 figur

WKB approximation in deformed space with minimal length

The WKB approximation for deformed space with minimal length is considered. The Bohr-Sommerfeld quantization rule is obtained. A new interesting feature in presence of deformation is that the WKB approximation is valid for intermediate quantum numbers and can be invalid for small as well as very large quantum numbers. The correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra.Comment: 13 pages Now it is avaible at http://stacks.iop.org/0305-4470/39/37

Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials

Using supersymmetric quantum mechanics we develop a new method for constructing quasi-exactly solvable (QES) potentials with two known eigenstates. This method is extended for constructing conditionally-exactly solvable potentials (CES). The considered QES potentials at certain values of parameters become exactly solvable and can be treated as CES ones.Comment: 17 pages, latex, no figure

Motion of a spin 1/2 particle in shape invariant scalar and magnetic fields

We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.Comment: 14 page

Влияние нарушений мочеиспускания на качество жизни при урогенитальной форме диабетической автономной нейропатии у пациенток с сахарным диабетом 1 и 2 типов = Influence of urination disorders on quality of life in the urogenital form of diabetic autonomic neuropathy in patients with diabetes mellitus type 1 and 2

Kravchun N. A., Tkachuk E. Y., Shuhtin V. V., Goydyk V. S. Влияние нарушений мочеиспускания на качество жизни при урогенитальной форме диабетической автономной нейропатии у пациенток с сахарным диабетом 1 и 2 типов = Influence of urination disorders on quality of life in the urogenital form of diabetic autonomic neuropathy in patients with diabetes mellitus type 1 and 2. Journal of Education, Health and Sport. 2016;6(9):682-690. eISSN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.159072 http://ojs.ukw.edu.pl/index.php/johs/article/view/3897 The journal has had 7 points in Ministry of Science and Higher Education parametric evaluation. Part B item 755 (23.12.2015). 755 Journal of Education, Health and Sport eISSN 2391-8306 7 © The Author (s) 2016; This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. The authors declare that there is no conflict of interests regarding the publication of this paper. Received: 02.09.2016. Revised 24.09.2016. Accepted: 24.09.2016. Влияние нарушений мочеиспускания на качество жизни при урогенитальной форме диабетической автономной нейропатии у пациенток с сахарным диабетом 1 и 2 типов Н. А. Кравчун, Е. Ю. Ткачук В. В. Шухтин, В. С. Гойдык ГУ «Институт проблем эндокринной патологии имени В.Я. Данилевского НАМН Украины», г.Харьков; Областная клиническая больница – Центр экстренной медицинской помощи и медицины катастроф, г.Харьков Украинский научно-исследовательский институт медицины транспорта МЗ Украины, Одесса Резюме Изучено влияние нарушений мочеиспускания на качество жизни при урогенитальной форме диабетической автономной нейропатии у 195 пациенток с сахарным диабетом 1 и 2 типов. Оценка качества жизни проводилась при помощи Short Form Medical Outcomes Study (SF-36), а для выявления нарушения мочеиспускания использовалась разработанная нами шкала-опросник при сахарном диабете. Установлено, что в зависимости от степени тяжести нарушений мочеиспускания качество жизни у пациенток с указанной патологией достоверно ухудшается, психический компонент качества жизни угнетается в большей степени. Ключевые слова: сахарный диабет, урогенитальная форма, нарушение мочеиспускания, качество жизни, SF-36. Influence of urination disorders on quality of life in the urogenital form of diabetic autonomic neuropathy in patients with diabetes mellitus type 1 and 2 N. A. Kravchun, E. Y. Tkachuk, V. V. Shuhtin, V. S. Goydyk SI “V. Danilevsky Institute for Endocrine Pathology Problems named of the NAMS of Ukraine”, Kharkiv; Regional Clinical Hospital – Centre of emergency medical care and emergency medicine, Kharkiv Ukrainian Scientific Research Institute of Transport Medicine, Ministry of Health of Ukraine Summary Was studied effect of voiding disorders on quality of life in the urogenital form of diabetic autonomic neuropathy in 195 patients with diabetes mellitus type 1 and 2. Quality of life assessment was performed using the Short Form Medical Outcomes Study (SF-36), and to detect urination disorders used the scale - a questionnaire we have developed for patients with diabetes. It was found that, depending on the severity of urinary disorders quality of life of patients with this pathology significantly worsens the mental component of quality of life is inhibited to a greater extent. Key words: type 1 and 2 diabetes mellitus, the urogenital form of diabetic autonomic neuropathy, urination disorders, quality of life, SF-36. Вплив порушень сечовипускання на якість життя при урогенітальній формі діабетичної автономної нейропатії у пацієнток з цукровим діабетом 1 і 2 типів Н. О. Кравчун, О. Ю. Ткачук. В. В. Шухтін, В. С. Гойдик ДУ «Інститут проблем ендокринної патології імені В.Я. Данилевського НАМН України», м. Харків; Обласна клінічна лікарня - Центр екстреної медичної допомоги та медицини катастроф, м. Харків. Український науково-дослідний інститут медицини транспорту МОЗ України, Одеса Резюме Вивчено вплив порушень сечовипускання на якість життя при урогенітальній формі діабетичної автономної нейропатії у 195 пацієнток з цукровим діабетом 1 і 2 типів. Оцінка якості життя проводилась за допомогою Short Form Medical Outcomes Study (SF-36), а для виявлення порушень сечовипускання використовувалась розроблена нами шкала-опитувальник при цукровому діабеті. Встановлено, що в залежності від ступеня тяжкості порушень сечовипускання якість життя у пацієнток із зазначеною патологією достовірно погіршується, психічний компонент якості життя пригнічується більшою мірою. Ключові слова: цукровий діабет 1 і 2 типу, урогенітальна форма діабетичної автономної нейропатії, порушення сечовипускання, якість життя, SF-36

Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework

In the context of a two-parameter $(\alpha, \beta)$ deformation of the canonical commutation relation leading to nonzero minimal uncertainties in both position and momentum, the harmonic oscillator spectrum and eigenvectors are determined by using techniques of supersymmetric quantum mechanics combined with shape invariance under parameter scaling. The resulting supersymmetric partner Hamiltonians correspond to different masses and frequencies. The exponential spectrum is proved to reduce to a previously found quadratic spectrum whenever one of the parameters $\alpha$, $\beta$ vanishes, in which case shape invariance under parameter translation occurs. In the special case where $\alpha = \beta \ne 0$, the oscillator Hamiltonian is shown to coincide with that of the q-deformed oscillator with $q > 1$ and its eigenvectors are therefore $n$-$q$-boson states. In the general case where $0 \ne \alpha \ne \beta \ne 0$, the eigenvectors are constructed as linear combinations of $n$-$q$-boson states by resorting to a Bargmann representation of the latter and to $q$-differential calculus. They are finally expressed in terms of a $q$-exponential and little $q$-Jacobi polynomials.Comment: LaTeX, 24 pages, no figure, minor changes, additional references, final version to be published in JP

One dimensional Coulomb-like problem in deformed space with minimal length

Spectrum and eigenfunctions in the momentum representation for 1D Coulomb potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that correction due to the deformation is proportional to square root of the deformation parameter. We obtain the same spectrum using Bohr-Sommerfeld quantization condition.Comment: 11 pages, typos corrected, references adde

Population of higher-energy levels in LiY_(1-x)Er_xF_4 (x=O.003 ÷1) crystals under CW IR laser-diode pumping

Steady-state population of 7 lowest excited erbium. levels in LiY¬¬_(1-x)Er_xF_4 (YLF:Er^(3+) (x=0.003-1) crystals was studied under upconversion. CW InGaAs laser-diode pumping with varied power density. Theoretical and experimental concentration and power dependencies of population of higher-energy radiative levels were obtained. Relative changes in populations of studied levels in YLF:Er^(3+) crystals were experimentally controlled by visible spectra of steady-state luminescence in the wavelength ranges corresponding to transitions ^4S_(3/2) --> ^4I(15/2) (0.52--0.57) mum and ^4 F_(9/2) --> ^I_(15/2) (0.64--0.68) µm. IR-pumped luminescence kinetic curves of higher-energy transitions ^4S_(3/2) --> ^4I_(15/2) (0.55 µm) and ^2H_(9/2) --> ^4I_(15/2) (0.41 µm) were recorded. The energy-transfer mechanisms were determined, and the predominant mechanisms responsible for upconversion excitation were elucidated. Microparameters of energy transfer and concentration dependencies of the selfquenching rates and non-linear coupling were obtained on the basis of theoretical and experimental estimates of the rates of intra- and intercenter relaxation processes (migration, selfquenching, and upconversion) allowing for statistics of coupling between the impurity centers in the system. The steady-state dependencies of population on the erbium concentration and pumping power density were calculated within the framework of rate balance equations. Good agreement between the theory and experimental data was obtained