Results 51 to 60 of about 17,955 (266)
Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n a result of Seeley on eigenfunction expansions of real analytic functions on compact manifolds. As a counterpart of an elliptic operator in a compact manifold, we consider in R n \mathbb {R}^n
T. Gramchev +2 more
openaire +5 more sources
Eigenfunction distribution for the Rosenzweig-Porter model [PDF]
Phys. Rev. E 98, 032139 (2018), 2018 The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very well with numerical calculations.
arxiv +1 more source
Advanced Theory and Simulations, EarlyView.This study analyses the electronic structure of five‐electron spherical quantum dots with penetrable confinement potential. Spatial confinement and the influence of potential barrier height give rise to the unique properties of quantum dots. These effects lead to profound changes in their energy spectra and optical properties which play a key role in ...
Yusuf Yakar, Bekir Çakır, Ayhan Özmen
wiley +1 more source
The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2020 Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin +1 more
doaj +1 more source
Advanced Science, EarlyView.A multi‐parameter‐tunable, all‐metallic, low‐loss, wave‐chaotic cavity enables a frequency‐insensitive (over a 7 GHz bandwidth) technique to synthesize desired transfer functions within smaller windows to high accuracy and with complete reconfigurability of shapes and center frequencies.
Fabian T. Faul +4 more
wiley +1 more source
Eigenfunctions and optimal orbits
Journal of Computational and Applied Mathematics, 1984 AbstractFor the algebraic structure (R, max, +) we study the continuous analogue of the eigenvector-eigenvalue problem and relate it to a minimal-cost orbit problem. An explicit solution is given for the concave-quadratic case.
Rainer E. Burkard +1 more
openaire +2 more sources
FADDEEV EIGENFUNCTIONS FOR MULTIPOINT POTENTIALS [PDF]
Eurasian Journal of Mathematical and Computer Applications, 2013 We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev.
Grinevich, Piotr, Novikov, Roman
openaire +4 more sources
Mixed problem for the singular partial differential equation of parabolic type
Karpatsʹkì Matematičnì Publìkacìï, 2018 The scheme for solving of a mixed problem is proposed for a differential equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(c(x)\frac{\partial T}{\partial x}\right) -g(x)\, T\] with coefficients $a(x)$, $g(x)$ that are the
O.V. Makhnei
doaj +1 more source
Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, EarlyView.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
wiley +1 more source
Theory of discrete fractional Sturm–Liouville equations and visual results
AIMS Mathematics, 2019 In this article, we study discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operators.
Erdal Bas, Ramazan Ozarslan
doaj +1 more source