prof. RNDr. Pavel Exner DrSc.

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

A magnetic version of the Smilansky-Solomyak model

Year of publication
2017
Publication
Journal of Physics A: Mathematical and Theoretical. 2017, 50(48), ISSN 1751-8113.
Authors
Barseghyan, D. Exner, P.
Link
https://doi.org/10.1088/1751-8121/aa9234

Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces

Year of publication
2017
Publication
Mathematische Nachrichten. 2017, 290(8-9), 1215-1248. ISSN 0025-584X.
Authors
Behrndt, J. Exner, P. Holzmann, M. Lotoreichik, V.
Link
https://doi.org/10.1002/mana.201500498

Periodic quantum graphs from the Bethe-Sommerfeld perspective

Year of publication
2017
Publication
Journal of Physics A: Mathematical and Theoretical. 2017, 50(45), ISSN 1751-8113.
Authors
Exner, P. Turek, O.
Link
https://doi.org/10.1088/1751-8121/aa8d8d

A REGULAR ANALOGUE OF THE SMILANSKY MODEL: SPECTRAL PROPERTIES

Year of publication
2017
Publication
Reports on Mathematical Physics. 2017, 80(2), 177-192. ISSN 0034-4877.
Authors
Barseghyan, D. Exner, P.

Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics

Year of publication
2017
Publication
Journal of Mathematical Physics. 2017, 58(4), ISSN 0022-2488.
Authors
Exner, P. Lipovsky, J.
Link
https://doi.org/10.1063/1.4979048

On the existence of bound states in asymmetric leaky wires

Year of publication
2016
Publication
Journal of Mathematical Physics. 2016, 57(2), ISSN 0022-2488.
Authors
Exner, P. Vugalter, S.
Link
https://doi.org/10.1063/1.4941139

Generalized interactions supported on hypersurfaces

Year of publication
2016
Publication
Journal of Mathematical Physics. 2016, 57(4), ISSN 0022-2488.
Authors
Exner, P. Rohleder, J.
Link
https://doi.org/10.1063/1.4947181

STRONG COUPLING ASYMPTOTICS FOR SCHRODINGER OPERATORS WITH AN INTERACTION SUPPORTED BY AN OPEN ARC IN THREE DIMENSIONS

Year of publication
2016
Publication
Reports on Mathematical Physics. 2016, 77(1), 1-17. ISSN 0034-4877.
Authors
Exner, P. Kondej, S.
Link
https://doi.org/10.1016/S0034-4877(16)00005-7

Spectral analysis of a class of Schrodinger operators exhibiting a parameter-dependent spectral transition

Year of publication
2016
Publication
Journal of Physics A: Mathematical and Theoretical. 2016, 49(16), ISSN 1751-8113.
Authors
Barseghyan, D. Exner, P. Khrabustovskyi, A. Tater, M.
Link
https://doi.org/10.1088/1751-8113/49/16/165302

On eigenvalue asymptotics for strong delta-interactions supported by surfaces with boundaries

Year of publication
2016
Publication
Asymptotic Analysis. 2016, 97(1-2), 1-25. ISSN 0921-7134.
Authors
Dittrich, J. Exner, P. Kuehn, C. Pankrashkin, K.
Link
https://doi.org/10.3233/ASY-151341

On the spectrum of narrow Neumann waveguide with periodically distributed delta ' traps

Year of publication
2015
Publication
Journal of Physics A: Mathematical and Theoretical. 2015, 48(31), 1-13. ISSN 1751-8113.
Authors
Exner, P. Khrabustovskyi, A.
Link
https://doi.org/10.1088/1751-8113/48/31/315301

Approximations of Quantum-Graph Vertex Couplings by Singularly Scaled Rank-One Operators

Year of publication
2014
Publication
Letters in Mathematical Physics. 2014, 104(9), 1079-1094. ISSN 0377-9017.
Authors
Exner, P. Manko, S.
Link
https://doi.org/10.1007/s11005-014-0706-1