1,724,198 research outputs found
On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition
No full textAbstractIn this work, we consider the inverse scattering problem for a class of one dimensional Dirac operators on the semi-infinite interval with the boundary condition depending polynomially on a spectral parameter. The scattering data of the given problem is defined and its properties are examined. The main equation is derived, its solvability is proved and it is shown that the potential is uniquely recovered in terms of the scattering data. A generalization of the Marchenko method is given for a class of Dirac operator
Kommt das Friedensreich zu allen Menschen? – Raoef Mamedov: Das letzte Abendmahl
No full textKonz B, Lerke S. Kommt das Friedensreich zu allen Menschen? – Raoef Mamedov: Das letzte Abendmahl. In: Konz B, Roggenkamp A, eds. Vielgestaltige Christusansichten. Im Theologisieren Unbeachtetes entdecken. Bibel – Schule – Leben. Vol 12. Berlin: Lit; 2022: 115-126
Sobolev inequality with non-uniformly degenerating gradient
Get PDFIn this paper we prove a weighted Sobolev inequality in a bounded domain Ω ⊂ R^n, n ≥ 1, of a homogeneous space (R^n,ρ,wdx), under suitable compatibility conditions on the positive weight functions (v, w, ω1, ω2, . . . , ωn) and on the quasi-metric ρ
On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition
No full textOn the positive semi-infinite interval, we obtained a generalization of the Marchenko method for a Dirac equation system with a discontinuous coefficient and a quadratic polynomial on a spectral parameter in the boundary condition. In this connection, we use an new integral representation of the Jost solution of equation systems, which does not have a triangular form. The scattering function of the problem is defined, and its properties are examined. The Marchenko-type main equation is obtained, and it is shown that the potential is uniquely recovered in terms the scattering function
On the jost solutions for a class of Schrödinger equations with piecewise constant coeffcients
No full textB. I. Verkin Institute for Low Temperature Physics and EngineeringIn this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coeffcient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schrödinger equation, enable to solve the inverse scattering problem on the entire real line. © A.A. Nabiev and Kh.R. Mamedov, 2015
Band structure and optical properties of some quasi-molecular AI₃ (A=Sb, Bi, As)
No full textLink to publisher's homepage at http://ijneam.unimap.edu.my/We perform first principles density functional pseudopotential calculation for the description of band structure ans optical responses a prototypical family of quasi-molecular layered solid of the type Al₃ where A = Sb, Bi and As. Our report on calculation of the anisotropic frequency-dependent optical properties and density of states of these compounds and find excellent agreement with the available experimental data. The optical properties show to main structures that can attributed to transitions between the np-orbitals of A3+ -cations and 5²2 5p⁵ orbitals of I- -anions
Statistical Cluster Points and Turnpike Theorem in Nonconvex Problems
No full textAbstractIn this paper we develop the method suggested by S. Pehlivan and M. A. Mamedov (“Statistical Cluster Points and Turnpike,” submitted), where it was proved that under some conditions optimal paths have the same unique stationary limit point–stationary cluster point. This notion was introduced by J. A. Fridy (1993, Proc. Amer. Math. Soc.118, 1187–1192) and it turns out to be a very useful and interesting tool in turnpike theory. The purpose of this paper is to avoid the convexity conditions. Here the turnpike theorem is proved under conditions that are quite different from those of Pehlivan and Mamedov and may be satisfied for the mappings with nonconvex images and for nonconcave functions in the definition of functionals
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Calculation of overlap integrals over Slater-type orbitals using translational and rotational transformations for spherical harmonics
No full textUsing translation and rotation formulas for spherical harmonics the finite sums through the basic overlap integrals and spherical harmonics are derived for the arbitrary overlap integrals over Slater-type orbitals (STOs). The recurrence relations for the evaluation of basic overlap integrals have been established recently [Guseinov II, Mamedov BA (1999) J Mol Struct (THEOCHEM 465:1]. By the use of the derived expressions the overlap integrals can be calculated most efficiently and accurately, especially for large quantum numbers of STOs
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