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- 1.0552559 - ÚJF 2023 RIV US eng J - Journal Article
Behrndt, J. - Khrabustovskyi, Andrii
Singular Schrodinger operators with prescribed spectral properties.
Journal of Functional Analysis. Roč. 282, č. 1 (2022), č. článku 109252. ISSN 0022-1236. E-ISSN 1096-0783
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Schrodinger operator * delta-Interaction * Essential spectrum * Discrete spectrum
OECD category: Pure mathematics
Impact factor: 1.7, year: 2022
Method of publishing: Open access
https://doi.org/10.1016/j.jfa.2021.109252
Permanent Link: http://hdl.handle.net/11104/0327666File Download Size Commentary Version Access 0552559.pdf 0 795.1 KB Open Access - CC licence Publisher’s postprint open-access - 2.0547649 - ÚJF 2022 RIV GB eng J - Journal Article
Khrabustovskyi, Andrii - Post, O.
A geometric approximation of delta-interactions by Neumann Laplacians.
Journal of Physics A-Mathematical and Theoretical. Roč. 54, č. 46 (2021), č. článku 465201. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Delta-interaction * singularly perturbed domains * Neumann Laplacian * norm resolvent convergence * operator estimates * spectral convergence
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.331, year: 2021
Method of publishing: Limited access
https://doi.org/10.1088/1751-8121/ac2d52
Permanent Link: http://hdl.handle.net/11104/0323842 - 3.0542656 - ÚJF 2022 RIV US eng J - Journal Article
Dauge, M. - Jex, M. - Lotoreichik, Vladimir
Trace Hardy inequality for the Euclidean space with a cut and its applications.
Journal of Mathematical Analysis and Applications. Roč. 500, č. 2 (2021), č. článku 125124. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Trace Hardy inequality * Jump of the trace * non-closed cut * heat equation * delta'-interaction
OECD category: Pure mathematics
Impact factor: 1.417, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.jmaa.2021.125124
Permanent Link: http://hdl.handle.net/11104/0320029 - 4.0538359 - ÚJF 2021 RIV SG eng J - Journal Article
Dittrich, Jaroslav
Scattering of particles bounded to an infinite planar curve.
Reviews in Mathematical Physics. Roč. 32, č. 10 (2020), č. článku 2050029. ISSN 0129-055X. E-ISSN 1793-6659
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : curve supporting delta interaction * absolutely continuous spectrum * scattering * wave operator
OECD category: Pure mathematics
Impact factor: 1.361, year: 2020
Method of publishing: Limited access
https://doi.org/10.1142/S0129055X20500294
Permanent Link: http://hdl.handle.net/11104/0316170 - 5.0505085 - ÚJF 2020 RIV GB eng J - Journal Article
Lotoreichik, Vladimir
Spectral isoperimetric inequalities for singular interactions on open arcs.
Applicable Analysis. Roč. 98, č. 8 (2019), s. 1451-1460. ISSN 0003-6811. E-ISSN 1563-504X
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : delta-interaction on an open arc * Robin Laplacian on planes with slits * lowest eigenvalue * spectral isoperimetric inequality * Birman-Schwinger principle
OECD category: Applied mathematics
Impact factor: 1.107, year: 2019
Method of publishing: Limited access
https://doi.org/10.1080/00036811.2018.1430778
Permanent Link: http://hdl.handle.net/11104/0296603 - 6.0497542 - ÚJF 2019 RIV UA eng J - Journal Article
Exner, Pavel - Khrabustovskyi, A.
Gap Control by Singular Schrodinger Operators in a Periodically Structured Metamaterial.
Journal of Mathematical Physics Analysis Geometry. Roč. 14, č. 3 (2018), s. 270-285. ISSN 1812-9471. E-ISSN 1817-5805
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : periodic Schrodinger operators * delta 'interaction * spectral gaps * eigenvalue asymptotics
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 0.424, year: 2018
Permanent Link: http://hdl.handle.net/11104/0290097 - 7.0492833 - ÚJF 2019 RIV CH eng C - Conference Paper (international conference)
Exner, Pavel
On the spectrum of leaky surfaces with a potential bias.
EMS Series of Congress Reports. The Helge Holden Anniversary Volume. Zurich: European Mathematical Society, 2018, s. 169-181. ISBN 978-3-03719-186-6.
[Conference on Non-linear PDEs, Mathematical Physics and Stochastic Analysis. Trondheim (NO), 04.07.2016-07.07.2016]
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : strong Delta-interaction * bound states * asymptotics
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Permanent Link: http://hdl.handle.net/11104/0286263 - 8.0489396 - ÚJF 2019 RIV NL eng J - Journal Article
Exner, Pavel - Lipovský, J.
Smilansky-Solomyak model with a delta '-interaction.
Physics Letters. A. Roč. 382, č. 18 (2018), s. 1207-1213. ISSN 0375-9601. E-ISSN 1873-2429
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : Smilansky-Solomyak model * delta '-interaction * spectral theory
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.087, year: 2018
Permanent Link: http://hdl.handle.net/11104/0283815 - 9.0474568 - ÚJF 2018 RIV NL eng J - Journal Article
Exner, Pavel - Lotoreichik, Vladimir
A spectral isoperimetric inequality for cones.
Letters in Mathematical Physics. Roč. 107, č. 4 (2017), s. 717-732. ISSN 0377-9017. E-ISSN 1573-0530
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : Shrodinger operator * delta-interaction * conical surface * isoperimetric inequality * existence of bound states
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.306, year: 2017
Permanent Link: http://hdl.handle.net/11104/0271590 - 10.0473567 - ÚJF 2018 RIV US eng J - Journal Article
Kondej, S. - Krejčiřík, David
Asymptotic spectral analysis in colliding leaky quantum layers.
Journal of Mathematical Analysis and Applications. Roč. 446, č. 2 (2017), s. 1328-1355. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : quantum layers * leaky graphs * Delta interaction supported on hypersurfaces * Norm-resolvent convergence * non-self-adjoint interaction
OECD category: Applied mathematics
Impact factor: 1.138, year: 2017
Permanent Link: http://hdl.handle.net/11104/0270699