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Estimates on trapped modes in deformed quantum layers
We use the logarithmic Lieb-Thirring inequality for two-dimensional Schrodinger operators and establish estimates on trapped modes in geometrically deformed quantum layers....
BE - Teoretická fyzika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Faber-Krahn inequalities for Schrodinger operators with point and with Coulomb interactions
-dimensional Faber-Krahn inequality for the Schrodinger operator with point interaction establish three-dimensional Faber-Krahn inequalities for a one- and two-body Schrodinger operator with attra...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral estimates for a class of Schrodinger operators with infinite phase space and potential unbounded from below
We analyse two-dimensional Schrodinger operators with the potential vertical bar xy vertical bar(p) - lambda(x(2) + y(2))(p/(p+2)) where p >= 1 and lambda >= 0. We show that there is a critical value of lambda such...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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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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Aharonov and Bohm versus Welsh eigenvalues
We consider a class of two-dimensional Schrodinger operator with a singular spectrum when the system is amended by an Aharonov-Bohm flux a. [0, 1 2] in the center. It is shown that if ss = 0, there is a critical va...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The abstract Birman-Schwinger principle and spectral stability
. As an application, we revisit known results for Schrodinger and Dirac operators in Euclidean spaces and establish new results for Schrodinger operators in three-dimensionalWe discuss abstract Birman-Sc...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Asymptotics of the bound state induced by delta-interaction supported on a weakly deformed plane
In this paper, we consider the three-dimensional Schrodinger operator with a delta-interaction of strength alpha > 0 supported on an unbounded surface of this Schrodinger operator coincides with [- 1
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity
part of the spectrum of the one-dimensional Schrodinger operator H-1 = -d(2)/ dx(2We consider the Schrodinger operator on the plane with bounded potential V-1(x) + V-2(y) + epsilon W(x, ...
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The Hardy inequality and the heat equation with magnetic field in any dimension
operator on the (d-1)-dimensional sphere whose vector potential reflects the behavior generated by the magnetic Schrodinger operator from which an inverse-square potential is subtracted to make the op...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions
We generalize and study, within the framework of quantum mechanics and working with 1-dimensional, manifestly non-Hermitian Hamiltonians H = -d(2)/dx(2) + V, the traditional class of exactly solvable models with local point interact...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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