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- 1.0582330 - ÚJF 2024 CZ eng D - Thesis
Pekař, Jan
Quantum graphs with circulant vertex couplings.
Ústav jaderné fyziky AV ČR, v. v. i. Defended: Matematicko fyzikální fakulta UK. 09.06.2023. - Praha: Univerzita Karlova, Matematicko-fyzikální fakulta, 2023. 94 s.
Institutional support: RVO:61389005
Keywords : Quantum graphs * self-adjoint vertex coupling * time-reversal invariance * PT-symmetry * spectral properties * scattering properties * periodic systems
OECD category: Applied mathematics
http://hdl.handle.net/20.500.11956/181827
Permanent Link: https://hdl.handle.net/11104/0350443 - 2.0574392 - ÚJF 2024 RIV US eng J - Journal Article
Baradaran, M. - Exner, Pavel - Lipovský, J.
Magnetic square lattice with vertex coupling of a preferred orientation.
Annals of Physics. Roč. 454, JUL (2023), č. článku 169339. ISSN 0003-4916. E-ISSN 1096-035X
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Quantum graphs * Magnetic field * Periodic structrure * Time reversal non-invariance * Spectral gaps
OECD category: Pure mathematics
Impact factor: 3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.aop.2023.169339
Permanent Link: https://hdl.handle.net/11104/0344719 - 3.0560993 - ÚJF 2023 RIV US eng J - Journal Article
Baradaran, M. - Exner, Pavel
Kagome network with vertex coupling of a preferred orientation.
Journal of Mathematical Physics. Roč. 63, č. 8 (2022), č. článku 083502. ISSN 0022-2488. E-ISSN 1089-7658
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : quantum graphs * triangular lattice * kagome
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Open access
https://doi.org/10.1063/5.0093546
Permanent Link: https://hdl.handle.net/11104/0333751File Download Size Commentary Version Access 0560993.pdf 0 6 MB Open Access - CC licence Publisher’s postprint open-access - 4.0542586 - ÚJF 2022 RIV US eng J - Journal Article
Exner, Pavel
Quantum Graphs with Vertices Violating the Time Reversal Symmetry.
Physics of Particles and Nuclei. Roč. 52, č. 2 (2021), s. 330-336. ISSN 1063-7796. E-ISSN 1531-8559
Institutional support: RVO:61389005
Keywords : quantum graphs * coupling * lattice graphs
OECD category: Particles and field physics
Impact factor: 0.786, year: 2021
Method of publishing: Limited access
https://doi.org/10.1134/S1063779621020039
Permanent Link: http://hdl.handle.net/11104/0319973 - 5.0540723 - ÚJF 2022 RIV SG eng J - Journal Article
Baradaran, M. - Exner, Pavel - Tater, Miloš
Ring chains with vertex coupling of a preferred orientation.
Reviews in Mathematical Physics. Roč. 33, č. 1 (2021), č. článku 2060005. ISSN 0129-055X. E-ISSN 1793-6659
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : periodic structure * Quantum graphs * spectral gaps
OECD category: Pure mathematics
Impact factor: 1.383, year: 2021
Method of publishing: Limited access
https://doi.org/10.1142/S0129055X20600053
Permanent Link: http://hdl.handle.net/11104/0318341 - 6.0520877 - ÚJF 2020 RIV US eng J - Journal Article
Exner, Pavel - Lipovský, J.
Spectral asymptotics of the Laplacian on Platonic solids graphs.
Journal of Mathematical Physics. Roč. 60, č. 12 (2019), č. článku 122101. ISSN 0022-2488. E-ISSN 1089-7658
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : high-energy eigenvalue asymptotics * quantum graphs * solid grahps
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.317, year: 2019
Method of publishing: Limited access
https://doi.org/10.1063/1.5116100
Permanent Link: http://hdl.handle.net/11104/0305528 - 7.0490635 - ÚJF 2019 RIV GB eng J - Journal Article
Exner, Pavel - Turek, Ondřej - Tater, Miloš
A family of quantum graph vertex couplings interpolating between different symmetries.
Journal of Physics A-Mathematical and Theoretical. Roč. 51, č. 28 (2018), č. článku 285301. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : quantum graphs * vertex coupling * time reversal noninvariance * square lattice * interpolation * rotational symmetry * circulant matrix
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.110, year: 2018
Permanent Link: http://hdl.handle.net/11104/0284797 - 8.0486762 - ÚJF 2018 RIV SG eng C - Conference Paper (international conference)
Exner, Pavel
Vertex Couplings in quantum Graphs: Approximations by Scaled Schrödinger Operators.
Mathematics in Science and Technology. Singapore: World Scientific Publishing Company, 2011, s. 71-92. ISBN 978-981-4338-81-3.
[Satellite Conference of ICM on Mathematics in Science and Technology. New Delhi (IN), 14.08.2010-17.08.2010]
R&D Projects: GA MŠMT LC06002
Institutional support: RVO:61389005
Keywords : quantum graphs * vertex coupling * tube networks
OECD category: Pure mathematics
Permanent Link: http://hdl.handle.net/11104/0281492 - 9.0486254 - ÚJF 2018 RIV GB eng J - Journal Article
Exner, Pavel - Turek, Ondřej
Periodic quantum graphs from the Bethe-Sommerfeld perspective.
Journal of Physics A-Mathematical and Theoretical. Roč. 50, č. 45 (2017), č. článku 455201. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : quantum graphs * Bethe-Sommerfeld conjecture * vertex coupling * Diophantine approximation * periodic structure
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.963, year: 2017
Permanent Link: http://hdl.handle.net/11104/0281133 - 10.0480621 - ÚJF 2018 RIV RU eng J - Journal Article
Exner, Pavel - Turek, Ondřej
Quantum graphs with the Bethe-Sommerfeld property.
Nanosystems: Physics, Chemistry, Mathematics. Roč. 8, č. 3 (2017), s. 305-309. ISSN 2220-8054
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : periodic quantum graphs * gap number * delta-coupling * rectangular lattice graph * scale-invariant coupling * Bethe-Sommerfeld conjecture * golden mean
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/11104/0276356