Photoassisted tunneling from free-standing GaAs thin films into metallic surfaces

The tunnel photocurrent between a gold surface and a free-standing semiconducting thin film excited from the rear by above bandgap light has been measured as a function of applied bias, tunnel distance and excitation light power. The results are compared with the predictions of a model which includes the bias dependence of the tunnel barrier height and the bias-induced decrease of surface recombination velocity. It is found that i) the tunnel photocurrent from the conduction band dominates that from surface states. ii) At large tunnel distance the exponential bias dependence of the current is explained by that of the tunnel barrier height, while at small distance the change of surface recombination velocity is dominant

Transformations of Heun's equation and its integral relations

We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\'elyi-type). Such kernels, by a limiting process, also afford new kernels for the confluent Heun equation.Comment: This version was published in J. Phys. A: Math. Theor. 44 (2011) 07520

Ince's limits for confluent and double-confluent Heun equations

We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in each pair is given by a series of hypergeometric functions and converges for any finite value of the independent variable $z$, while the other is given by a series of modified Bessel functions and converges for $|z|>|z_{0}|$, where $z_{0}$ denotes a regular singularity. For short, the preceding limit is called Ince's limit after Ince who have used the same procedure to get the Mathieu equations from the Whittaker-Hill ones. We find as well that, when $z_{0}$ tends to zero, the Ince limit of the generalized spheroidal wave equation turns out to be the Ince limit of a double-confluent Heun equation, for which solutions are provided. Finally, we show that the Schr\"odinger equation for inverse fourth and sixth-power potentials reduces to peculiar cases of the double-confluent Heun equation and its Ince's limit, respectively.Comment: Submitted to Journal of Mathmatical Physic

Realizations of the Lie superalgebra q(2) and applications

The Lie superalgebra q(2) and its class of irreducible representations V_p of dimension 2p (p being a positive integer) are considered. The action of the q(2) generators on a basis of V_p is given explicitly, and from here two realizations of q(2) are determined. The q(2) generators are realized as differential operators in one variable x, and the basis vectors of V_p as 2-arrays of polynomials in x. Following such realizations, it is observed that the Hamiltonian of certain physical models can be written in terms of the q(2) generators. In particular, the models given here as an example are the sphaleron model, the Moszkowski model and the Jaynes-Cummings model. For each of these, it is shown how the q(2) realization of the Hamiltonian is helpful in determining the spectrum.Comment: LaTeX file, 15 pages. (further references added, minor changes in section 5

Fifth-year medical students’ perspectives on rural training in Botswana: A qualitative approach

Background. The curriculum of the Faculty of Medicine at the University of Botswana includes rural community exposure for students throughout their 5 years of training. In addition to community exposure during the first 2 years, students complete 16 weeks of family medicine and 8 weeks of public health medicine. However, as a new faculty, students’ experiences and perceptions regarding rural clinical training are not yet known.Objective. To describe the experiences and perceptions of the 5th-year medical students during their rural training and solicit their recommendations for improvement.Methods. This qualitative study used face-to-face interviews with 5th-year undergraduate medical students (N=36) at the end of their family medicine rotation in Mahalapye and Maun villages. We used a phenomenological paradigm to underpin the study. Voice-recorded interviews were transcribed and analysed using Atlas TI version 7 software (USA).Results. Three main themes were identified: (i) experiences and perceptions of the rural training environment; (ii) perceptions of the staff at rural sites; and (iii) perceptions of clinical benefits and relevance during rural training. While the majority of students perceived rural training as beneficial and valuable, a few felt that learning was compromised by limited resources and processes, such as medical equipment, internet connectivity and inadequate supervision.Conclusion. While the majority of students perceived rural training as beneficial, students identified limitations in both resources and supervision that need to be improved. Understanding students’ rural training experiences and perceptions can help the Faculty of Medicine, stakeholders and site facilitators to guide future rural training implementation

New Algebraic Quantum Many-body Problems

We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly-solvable models include rational and hyperbolic potentials related to root systems, in some cases with an additional external field. The quasi-exactly solvable models can be considered as deformations of the previous ones which share their algebraic character.Comment: LaTeX 2e with amstex package, 36 page

Tachyon condensation on brane sphalerons

We consider a sphaleron solution in field theory that provides a toy model for unstable D-branes of string theory. We investigate the tachyon condensation on a Dp-brane. The localized modes, including a tachyon, arise in the spectrum of a sphaleron solution of a \phi^4 field theory on M^{p+1}\times S^1. We use these modes to find a multiscalar tachyon potential living on the sphaleron world-volume. A complete cancelation between brane tension and the minimum of the tachyon potential is found as the size of the circle becomes small.Comment: To appear in JHEP, 13 pages, 2 eps figures, minor changes and references adde

Spiked oscillators: exact solution

A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. The procedure is applied to three familiar examples of spiked oscillators

Методическая работа в дошкольной образовательной организации как условие развития профессионально-педагогической культуры педагогов

Тема работы актуальна. В ВКР представлена методическая работа с педагогами ДОУ, по формирования профессионально-педагогической культуры. Работа имеет практическую значимост

TB and TB-HIV care for adolescents and young adults

SETTING: Nine high-burden public tuberculosis (TB) clinics in Gaborone, Botswana. OBJECTIVE: To evaluate the challenges encountered, healthcare worker (HCW) approaches, and supported interventions in TB and TB-HIV (human immunodeficiency virus) care for adolescents and young adults (AYA, aged 10–24 years). DESIGN: Semi-structured interviews with HCW in TB clinics, analyzed using thematic analysis. RESULTS: Sixteen HCWs were interviewed. AYA developmental needs included reliance on family support for care, increasing autonomy, attending school or work, building trust in HCWs, and intensive TB education and adherence support. Stigma strongly influenced care engagement, including clinic attendance and HIV testing. Health system barriers to optimal AYA TB care included limited staffing and resources to follow-up or support. HCWs utilized intensive education and counseling, and transitioned AYA to community-based directly observed therapy whenever feasible. HCWs supported implementation of youth-friendly services, such as AYA-friendly spaces or clinic days, training in AYA care, use of mobile applications, and peer support interventions, in addition to health system strengthening. CONCLUSION: HCWs utilize dedicated approaches for AYA with TB, but have limited time and resources for optimal care. They identified several strategies likely to improve care and better retain AYAs in TB treatment. Further work is needed to study interventions to improve AYA TB care and outcomes