prof. RNDr. Pavel Exner DrSc.

The Landau Hamiltonian with δ-potentials supported on curves

Year of publication
2020
Publication
Reviews in Mathematical Physics. 2020, 32(4), ISSN 0129-055X.
Authors
Behrndt, J. Exner, P. Holzmann, M. Lotoreichik, V.
Link
https://doi.org/10.1142/S0129055X20500105

Singular Schrödinger operators and Robin billiards Spectral properties and asymptotic expansions

Year of publication
2020
Publication
Afrika Matematika. 2020, 31(1), 71-88. ISSN 1012-9405.
Authors
Exner, P.
Link
https://doi.org/10.1007/s13370-018-0615-z

Spectral optimization for strongly singular Schrodinger operators with a star-shaped interaction

Year of publication
2020
Publication
Letters in Mathematical Physics. 2020, 110(4), 735-751. ISSN 0377-9017.
Authors
Exner, P. Kondej, S.
Link
https://doi.org/10.1007/s11005-019-01237-0

Spectral geometry in a rotating frame: Properties of the ground state

Year of publication
2020
Publication
Journal of Mathematical Analysis and Applications. 2020, 489(1), ISSN 0022-247X.
Authors
Barseghyan, D. Exner, P.
Link
https://doi.org/10.1016/j.jmaa.2020.124130

Spectral properties of spiral-shaped quantum waveguides

Year of publication
2020
Publication
Journal of Physics A: Mathematical and Theoretical. 2020, 53(50), ISSN 1751-8113.
Authors
Exner, P. Tater, M.
Link
https://doi.org/10.1088/1751-8121/abc5d3

Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

Year of publication
2020
Publication
Integral Equations and Operator Theory. 2020, 92(2), ISSN 0378-620X.
Authors
Exner, P. Lotoreichik, V.
Link
https://doi.org/10.1007/s00020-020-2571-x

On Dirac operators in R3 with electrostatic and Lorentz scalar δ -shell interactions

Year of publication
2019
Publication
Quantum Studies: Mathematics and Foundations. 2019, 6 295-314. ISSN 2196-5609.
Authors
Exner, P. Behrndt, J. Holzmann, M. Lotoreichik, V.
Link
https://doi.org/10.1007/s40509-019-00186-6

Spectral asymptotics of the Laplacian on Platonic solids graphs

Year of publication
2019
Publication
Journal of Mathematical Physics. 2019, 60(12), 1-21. ISSN 0022-2488.
Authors
Exner, P. Lipovsky, J.
Link
https://doi.org/10.1063/1.5116100

An optimization problem for finite point interaction families

Year of publication
2019
Publication
Journal of Physics A: Mathematical and Theoretical. 2019, 52(40), 1-12. ISSN 1751-8113.
Authors
Exner, P.
Link
https://doi.org/10.1088/1751-8121/ab3d82

Gap Control by Singular Schrodinger Operators in a Periodically Structured Metamaterial

Year of publication
2018
Publication
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY. 2018, 14(3), 270-285. ISSN 1812-9471.
Authors
Exner, P. Khrabustovskyi, A.
Link
https://doi.org/10.15407/mag14.03.270

GEOMETRICALLY INDUCED SPECTRAL EFFECTS IN TUBES WITH A MIXED DIRICHLET-NEUMANN BOUNDARY

Year of publication
2018
Publication
Reports on Mathematical Physics. 2018, 81(2), 213-231. ISSN 0034-4877.
Authors
Bakharev, Fedor L. Exner, P.
Link
https://doi.org/10.1016/S0034-4877(18)30038-7

On the spectral properties of Dirac operators with electrostatic delta-shell interactions

Year of publication
2018
Publication
Journal de Mathématiques Pures et Appliquées. 2018, 111 47-78. ISSN 0021-7824.
Authors
Behrndt, J. Exner, P. Holzmann, M. Lotoreichik, V.
Link
https://doi.org/10.1016/j.matpur.2017.07.018

Asymptotics of the bound state induced by delta-interaction supported on a weakly deformed plane

Year of publication
2018
Publication
Journal of Mathematical Physics. 2018, 59(1), ISSN 0022-2488.
Authors
Exner, P. Kondej, S. Lotoreichik, V.
Link
https://doi.org/10.1063/1.5019931