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On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (possibly non-self-adjoint) Jacobi and Schrödinger operators analysis of eigenvalues of discrete Schrödinger operators ...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Schrödinger Operators with δ -potentials Supported on Unbounded Lipschitz Hypersurfaces
In this note we consider the self-adjoint Schrödinger operator Aα in L2(ℝd), d≥ 2, with a δ -potential supported on a Lipschitz hypersurface Σ ⊆ ℝd of strength-Schwinger principle with a relativistic Schrödinger operato...
Applied mathematics
- 2023 •
- C •
- Link
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C - Kapitola v odborné knize
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Pseudomodes for Schrödinger operators with complex potentials
For one-dimensional Schrödinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. We develop a first systematic non-semi-classical approach, which results in a substantial p...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Singular Schrödinger operators and Robin billiards Spectral properties and asymptotic expansions
This paper summarizes the contents of a plenary talk at the Pan African Congress of Mathematics held in Rabat in July 2017. We provide a survey of recent results on spectral properties of Schrödinger operators with singular interact...
Mathematics
- 2018 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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Essential spectrum of Schrödinger operators with delta-interactions on the union of compact Lipschitz hypersurfaces
In this note we prove that the essential spectrum of a Schrödinger operator with ?-potential supported on a finite number of compact Lipschitz hypersurfaces is given by [0, +infinity) We emphasize that the union of a family of Lipsc...
BE - Teoretická fyzika
- 2013 •
- O
Rok uplatnění
O - Ostatní výsledky
Semiclassical Moser–Trudinger inequalities
We extend the Moser–Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains....
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
We prove a Cwikel–Lieb–Rozenblum type inequality for the number of negative eigenvalues of the Hardy–Schrödinger operator −Δ−(d−2)2/(4|x|2)−W(x) on L2(Rd). The bound is given in terms of a weighted Ld/2-norm of W which is sharp in b...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Phase-space complementarity and entanglement in QND measurement of Schrödinger-cat state
The coherent state superposition (Schrödinger-cat state) of light monitored by the QND-measurement of quadrature operator is analysed. A complementarity between the distinguishability and interference in the marginal probability dis...
BH - Optika, masery a lasery
- 2001 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line
We make a spectral analysis of discrete Schrödinger operators on the half-line, subject to complex Robin-type boundary couplings and complex-valued potentials. First, optimal spectral enclosures are obtained for summable potentials....
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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 the stro...
Applied mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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