Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians [PDF]
, 2016 We establish Lieb-Thirring type inequalities for non self-adjoint relatively compact perturbations of certain operators of mathematical physics. We apply our results to quantum Hamiltonians of Schr{\"o}dinger and Pauli with constant magnetic field of ...
Sambou, Diomba
core
On spectral estimates for the Schr\"odinger operators in global dimension 2
, 2012 The problem of finding eigenvalue estimates for the Schr\"odinger operator turns out to be most complicated for the dimension 2. Some important results for this case have been obtained recently.
Rozenblum, Grigori, Solomyak, Michael
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On the solvability of discrete nonlinear Neumann problems involving the
Advances in Difference Equations, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas +2 more
doaj
ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS
, 2010 In this paper, we discuss the H1 L -boundedness of commutators of Riesz transforms associated with the Schrödinger operator L =−4+ V , where H1 L (R n) is the Hardy space associated with L .
Pengtao Li, Lizhong Peng
semanticscholar +1 more source
Matrix formulation for infinite-rank operators
, 2012 Every finite-rank operator on a linear space X is the composition of an operator from X to a finite dimensional Euclidean space and of an operator from that Euclidean space to X .
B. V. Limaye
semanticscholar +1 more source
On the remainder term of the Berezin inequality on a convex domain
, 2016 We study the Dirichlet eigenvalues of the Laplacian on a convex domain in $\mathbb{R}^n$, with $n\geq 2$. In particular, we generalize and improve upper bounds for the Riesz means of order $\sigma\geq 3/2$ established in an article by Geisinger, Laptev ...
Larson, Simon
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On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
, 1999 We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schroedinger operators which have dilation analytic potentials.
A. Aslanyan +3 more
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On inequalities for polynomials in two variables
, 2009 Necessary and sufficient conditions are established for the comparison of the powers of polynomials in two variables with real coefficients. Mathematics subject classification (2000): 35P15, 35J25, 47A75, 47B25.
O. R. Gabrielyan +2 more
semanticscholar +1 more source
On the point spectrum of some perturbed differential operators with periodic coefficients [PDF]
, 2007 Finiteness of the point spectrum of linear operators acting in a Banach space is investigated from point of view of perturbation theory. In the first part of the paper we present an abstract result based on analytical continuation of the resolvent ...
Cialenco, Igor
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Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]
Mon Hefte Math, 2022 Kholmatov SY +2 more
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