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Spectral stability of Schrodinger operators with subordinated complex potentials
We prove that the spectrum of Schrodinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials of multipliers, we also establish the absence of point spectrum fo...
Applied mathematics
- 2018 •
- Jimp •
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Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials
We consider a Schrodinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this oper...
Applied mathematics
- 2020 •
- Jimp •
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Non-accretive Schrodinger operators and exponential decay of their eigenfunctions
We consider non-self-adjoint electromagnetic Schrodinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition ...
Pure mathematics
- 2017 •
- Jimp •
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Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials
Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in...
Applied mathematics
- 2022 •
- Jimp •
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Pseudospectra of the Schrödinger operator with a discontinuous complex potential
of the operator perturbed by complex potentials. The overall analysis demonstrates strikingWe study spectral properties of the Schrodinger operator with an imaginary sign potential on the real li...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On Some Sharp Spectral Inequalities for Schrodinger Operators on Semiaxis
In this paper we obtain sharp Lieb-Thirring inequalities for a Schrodinger operator on semiaxis with a matrix potential and show how they can be used to other related problems. Among them are spectral inequalities on star g...
BE - Teoretická fyzika
- 2014 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On fractional multi-singular Schrodinger operators: Positivity and localization of binding
of a configuration of poles that ensures the positivity of the corresponding Schrodinger operator.In this work we investigate positivity properties of nonlocal Schrodinger type operators, driven by the fractional ...
Mathematics
- 2020 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral Enclosures for Non-self-adjoint Discrete Schrödinger Operators
We study location of eigenvalues of one-dimensional discrete Schrödinger operators with complex ℓp-potentials for 1<=p<=infinity. In the case of ℓ1-potentials, the derived bound is shown to be optimal. For p>1, two...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
converges in anorm resolvent sense to a self-adjoint Schrodinger operator in the hyperplane whose potential is expressed solely in terms of the boundary coupling function-HermitianLaplacian by known results for Schrodi...
BM - Fyzika pevných látek a magnetismus
- 2012 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Schrodinger operators with delta-interactions supported on conical surfaces
We investigate the spectral properties of self-adjoint Schrodinger operators with attractive delta-interactions of constant strength alpha > 0 supported on conical surfaces in R-3. It is shown that the essential spectrum is given by...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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