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- 1.0581041 - ÚJF 2025 RIV DE eng J - Journal Article
Cassano, B. - Lotoreichik, Vladimir
Self-adjointness for the MIT bag model on an unbounded cone.
Mathematische Nachrichten. Roč. 297, č. 3 (2024), s. 1006-1041. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Dirac operator * Hardy inequality * MIT bag model * ortogonal decomposition * self-adjointness * unbounded circular cone
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://doi.org/10.1002/mana.202200386
Permanent Link: https://hdl.handle.net/11104/0352190 - 2.0575046 - ÚJF 2024 RIV US eng J - Journal Article
Krejčiřík, D. - Lotoreichik, Vladimir - Vu, T.
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle.
Applied Mathematics and Optimization. Roč. 88, č. 2 (2023), č. článku 63. ISSN 0095-4616. E-ISSN 1432-0606
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Robin Laplacian * Lowest eigenvalue * Spectral optimisation * Triangles
OECD category: Applied mathematics
Impact factor: 1.8, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00245-023-10033-1
Permanent Link: https://hdl.handle.net/11104/0344892File Download Size Commentary Version Access 0575046 .pdf 0 829.7 KB CC licence Publisher’s postprint open-access - 3.0574839 - ÚJF 2024 RIV DE eng J - Journal Article
Cassano, B. - Lotoreichik, Vladimir - Mas, A. - Tušek, M.
General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation.
Revista Matematica Iberoamericana. Roč. 39, č. 4 (2023), s. 1443-1492. ISSN 0213-2230
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Dirac operator * quantum-dot * Lorentz-scalar 8-shell * boundary conditions * self-adjoint operator * conformal map
OECD category: Pure mathematics
Impact factor: 1.2, year: 2022
Method of publishing: Open access
https://doi.org/10.4171/rmi/1354
Permanent Link: https://hdl.handle.net/11104/0344774File Download Size Commentary Version Access 0574839.pdf 0 798.4 KB CC licence Publisher’s postprint open-access - 4.0573208 - ÚJF 2024 RIV DE eng J - Journal Article
Behrndt, J. - Holzmann, M. - Lotoreichik, Vladimir - Raikov, G.
The fate of Landau levels under delta-interactions.
Journal of Spectral Theory. Roč. 12, č. 3 (2022), s. 1203-1234. ISSN 1664-039X. E-ISSN 1664-0403
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Berezin-Toeplitz operators * Laguerre polynomials * Landau Hamiltonian
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://doi.org/10.4171/JST/422
Permanent Link: https://hdl.handle.net/11104/0343660File Download Size Commentary Version Access 0573208.pdf 0 343.8 KB CC licence Publisher’s postprint open-access - 5.0566557 - ÚJF 2024 RIV US eng J - Journal Article
Lotoreichik, Vladimir
An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain.
Journal of Differential Equations. Roč. 345, FEB (2023), s. 285-313. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Bi-Laplacian * Robin boundary condition * Planar exterior domain * Isoperimetric inequality * Parallel coordinates * min-max principle
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jde.2022.11.016
Permanent Link: https://hdl.handle.net/11104/0337876 - 6.0566027 - ÚJF 2023 RIV DE eng J - Journal Article
Khalile, M. - Lotoreichik, Vladimir
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones.
Journal of Spectral Theory. Roč. 12, č. 2 (2022), s. 683-706. ISSN 1664-039X. E-ISSN 1664-0403
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : Robin Laplacian * 2-manifold * unbounded conical domain * lowest eigenvalue * spectral isoperimetric inequality * parallel coordinates
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://doi.org/10.4171/JST/416
Permanent Link: https://hdl.handle.net/11104/0337466File Download Size Commentary Version Access 0566027.pdf 0 279.4 KB Open Access - CC licence Publisher’s postprint open-access - 7.0561421 - ÚJF 2023 RIV US eng J - Journal Article
Behrndt, J. - Exner, Pavel - Holzmann, M. - Lotoreichik, Vladimir
On Dirac operators in R3 with electrostatic and Lorentz scalar delta-shell interactions.
Quantum Studies: Mathematics and Foundations. Roč. 6, č. 3 (2019), s. 295-314. ISSN 2196-5609. E-ISSN 2196-5617
R&D Projects: GA MŠMT 7AMB17AT022; GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : Dirac operator * Shell interaction * coupling condition * Spectral analysis * Nonrelativistic limit
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Method of publishing: Open access
https://doi.org/10.1007/s40509-019-00186-6
Permanent Link: https://hdl.handle.net/11104/0334044 - 8.0558934 - ÚJF 2024 RIV CH eng J - Journal Article
Frymark, Dale - Lotoreichik, Vladimir
Self-adjointness of the 2D Dirac Operator with Singular Interactions Supported on Star Graphs.
Annales Henri Poincare. Roč. 24, JAN (2023), s. 179-221. ISSN 1424-0637. E-ISSN 1424-0661
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Dirac operator * Singular interactions
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s00023-022-01213-w
Permanent Link: https://hdl.handle.net/11104/0338171 - 9.0557390 - ÚJF 2023 RIV DE eng J - Journal Article
Exner, Pavel - Lotoreichik, Vladimir
Spectral optimization for Robin Laplacian on domains admitting parallel coordinates.
Mathematische Nachrichten. Roč. 295, č. 6 (2022), s. 1163-1173. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : curved strip * eigenvalue optimization * exterior of a convex set * min-max principle * parallel coordinates * Robin Laplacian * second eigenvalue
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1002/mana.202000013
Permanent Link: http://hdl.handle.net/11104/0331989 - 10.0557030 - ÚJF 2023 RIV US eng J - Journal Article
Kachmar, A. - Lotoreichik, Vladimir
On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter.
Journal of Geometric Analysis. Roč. 32, č. 6 (2022), č. článku 182. ISSN 1050-6926. E-ISSN 1559-002X
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Magnetic Robin Laplacian * Homogeneous magnetic field * Lowest eigenvalue * Isoperimetric inequality * Parallel coordinates * Centrally symmetric domain
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s12220-022-00917-z
Permanent Link: http://hdl.handle.net/11104/0331138