Results 11 to 20 of about 869 (34)
On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 6, Issue 6, Page 329-338, 2001., 2001 For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
Yuriy Valentinovich Zasorin
wiley +1 more source
Self-adjointness of perturbed bi-Laplacians on infinite graphs
, 2020 We give a sufficient condition for the essential self-adjointness of a perturbation of the square of the magnetic Laplacian on an infinite weighted graph. The main result is applicable to graphs whose degree function is not necessarily bounded.
Milatovic, Ognjen
core +1 more source
A theorem on “localized” self‐adjointness of Shrödinger operators with ‐potentials
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 3, Page 545-552, 1982., 1982 We prove a result which concludes the self‐adjointness of a Schrödinger operator from the self‐adjointness of the associated “localized” Schrödinger operators having ‐Potentials.
Hans L. Cycon
wiley +1 more source
A method for creating materials with a desired refraction coefficient [PDF]
, 2009 It is proposed to create materials with a desired refraction coefficient in a bounded domain $D\subset \R^3$ by embedding many small balls with constant refraction coefficients into a given material. The number of small balls per unit volume around every
Ramm, A. G.
core +7 more sources
An optimization problem for the first weighted eigenvalue problem plus a potential [PDF]
, 2009 In this paper, we study the problem of minimizing the first eigenvalue of the $p-$Laplacian plus a potential with weights, when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential $V_0$ and weight ...
Bonder, Julián Fernández +1 more
core +3 more sources
The Fate of the Landau Levels under Perturbations of Constant Sign
, 2009 We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schr\"odinger operator with constant magnetic field, by bounded electric potentials of fixed sign.
Klopp, Frédéric, Raikov, Georgi
core +3 more sources
Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy [PDF]
, 2008 2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40.We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying ...
Assel, Rachid, Dimassi, Mouez
core
Fourth-order Schr\"odinger type operator with singular potentials
, 2016 In this paper we study the biharmonic operator perturbed by an inverse fourth-order potential. In particular, we consider the operator $A=\Delta^2-V=\Delta^2-c|x|^{-4}$ where $c$ is any constant such that ...
Gregorio, Federica, Mildner, Sebastian
core +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu +4 more
wiley +1 more source