Results 31 to 40 of about 1,361,395 (332)

Semiclassical Spectral Asymptotics for a Magnetic Schrödinger Operator with Non-vanishing Magnetic Field [PDF]

, 2013
We consider a magnetic Schrodinger operator Hh on a compact Riemannian manifold, depending on the semiclassical parameter h > 0. We assume that there is no electric field.
B. Helffer, Y. Kordyukov
semanticscholar   +1 more source

Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials

Journal of Function Spaces, 2021
This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space.
Wei Chen, Yue Wu
doaj   +1 more source

Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain [PDF]

, 2013
In this work uniformly convergent problems of the eigenfunction expansions of the Schrödinger operator −Δ+q(y1, y2) with singular potential from W12(Ω) are investigated.
Ahmedov, Anvarjon A., Jamaludin, Nur Amalina, Rakhimov, Abdumalik   +2 more
core   +1 more source

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions

Boundary Value Problems, 2020
In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu, Songhai Qin, Zhibin Liu, Yi Wang   +3 more
doaj   +1 more source

The Schr\"odinger-Newton equation and its foundations [PDF]

, 2014
The necessity of quantising the gravitational field is still subject to an open debate. In this paper we compare the approach of quantum gravity, with that of a fundamentally semi-classical theory of gravity, in the weak-field non-relativistic limit.
Bahrami, Mohammad, Bassi, Angelo, Donadi, Sandro, Großardt, André   +3 more
core   +2 more sources

Semigroup Maximal Functions, Riesz Transforms, and Morrey Spaces Associated with Schrödinger Operators on the Heisenberg Groups

Journal of Function Spaces, 2020
Let L=−Δℍn+V be a Schrödinger operator on the Heisenberg group ℍn, where Δℍn is the sub-Laplacian on ℍn and the nonnegative potential V belongs to the reverse Hölder class Bq with q∈Q/2,∞. Here, Q=2n+2 is the homogeneous dimension of ℍn.
Hua Wang
doaj   +1 more source

Riesz Transform Characterization of Weighted Hardy Spaces Associated with Schrödinger Operators

Journal of Function Spaces, 2016
We characterize the weighted local Hardy spaces hρ1(ω) related to the critical radius function ρ and weights ω∈A1ρ,∞(Rn) by localized Riesz transforms R^j; in addition, we give a characterization of weighted Hardy spaces HL1(ω) via Riesz transforms ...
Hua Zhu
doaj   +1 more source

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators [PDF]

, 2007
We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schrödinger-like operators remain true, with possibly different constants, when the critical Hardy-weight C │x│^(-2) is subtracted from the Laplace operator.
Frank, Rupert L., Lieb, Elliott H., Seiringer, Robert   +2 more
core   +1 more source

Applications of maximum modulus method and Phragmén–Lindelöf method for second-order boundary value problems with respect to the Schrödinger operator

Boundary Value Problems, 2019
In this paper, we present a reliable combination of the maximum modulus method with respect to the Schrödinger operator (Meng in J. Syst. Sci. Complex.
Zhen Liu
doaj   +1 more source

Computing the q-Numerical Range of Differential Operators

Journal of Applied Mathematics, 2020
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by ...
Ahmed Muhammad, Faiza Abdullah Shareef
doaj   +1 more source