Results 81 to 90 of about 1,829 (110)

On Local Perturbations of SCHRÖdinger Operator on Plane [PDF]

arXiv, 2002
We obtain necessary and sufficient conditions for emerging of small eigenvalue for Schr\"odinger operator on plane under local operator perturbations. In the case the eigenvalue emerges we construct its asymptotics. The examples are given.
arxiv  

Extremal first Dirichlet eigenvalue of doubly connected plane domains and dihedral symmetry [PDF]

, 2007
We deal with the following eigenvalue optimization problem: Given a bounded domain $D\subset \R^2$, how to place an obstacle $B$ of fixed shape within $D$ so as to maximize or minimize the fundamental eigenvalue $\lambda_1$ of the Dirichlet Laplacian on $
Kiwan, Rola, Soufi, Ahmad El
core   +2 more sources

Distribution of particles which produces a desired radiation pattern [PDF]

arXiv, 2005
A method is given for calculation of a distribution of small particles, embedded in a medium, so that the resulting medium would have a desired radiation pattern for the plane wave scattering by this medium.
arxiv  

Approximation discret de la Densite d etat surfacique pour un operateur de Schrodinger surfacique presque periodique [PDF]

arXiv, 2006
On va montrer que la densite d etat surfacique de de l operateur de Schrodinger presque periodique discret converge faiblement vers la Densite d etat surfacique continue .
arxiv  

Eigenvalue estimates for the one-particle density matrix [PDF]

arXiv, 2020
It is shown that the eigenvalues $\lambda_k, k=1, 2, \dots,$ of the one-particle density matrix satisfy the bound $\lambda_k\le C k^{-8/3}$ with a positive constant $C$.
arxiv  

Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

Time decay for Schroedinger equation with rough potentials [PDF]

arXiv, 2007
We obtain certain time decay and regularity estimates for 3D Schroedinger equation with a potential in the Kato class by using Besov spaces associated with Schroedinger operators.
arxiv  

Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces

Open Mathematics
Let L=−△+VL=-\bigtriangleup +V be the Schrödinger operator on Rn{{\mathbb{R}}}^{n}, where V≠0V\ne 0 is a non-negative function satisfying the reverse Hölder class RHq1R{H}_{{q}_{1}} for some q1>n⁄2{q}_{1}\gt n/2. △\bigtriangleup is the Laplacian on Rn{{\
Celik Suleyman, Guliyev Vagif S., Akbulut Ali   +2 more
doaj   +1 more source

Irreducibility of some spectral determinants [PDF]

arXiv, 2009
This is a complement to our paper arXiv:0802.1461. We study irreducibility of spectral determinants of some one-parametric eigenvalue problems in dimension one with polynomial potentials.
arxiv