prof. RNDr. Pavel Exner DrSc.

Schrodinger operators with delta-interactions supported on conical surfaces

Year of publication
2014
Publication
Journal of Physics A: Mathematical and Theoretical. 2014, 47(35), 1-16. ISSN 1751-8113.
Authors
Behrndt, J. Exner, P. Lotoreichik, V.
Link
https://doi.org/10.1088/1751-8113/47/35/355202

Schrodinger operators with delta- and delta '-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

Year of publication
2014
Publication
Reviews in Mathematical Physics. 2014, 26(8), 1-43. ISSN 0129-055X.
Authors
Behrndt, J. Exner, P. Lotoreichik, V.
Link
https://doi.org/10.1142/S0129055X14500159

A regular version of Smilansky model

Year of publication
2014
Publication
Journal of Mathematical Physics. 2014, 55(4), 1-13. ISSN 0022-2488.
Authors
Barseghyan, D. Exner, P.
Link
https://doi.org/10.1063/1.4870602

Curvature-induced bound states in Robin waveguides and their asymptotical properties

Year of publication
2014
Publication
Journal of Mathematical Physics. 2014, 55(12), 122101-1-122101-19. ISSN 0022-2488.
Authors
Exner, P. Minakov, A.
Link
https://doi.org/10.1063/1.4903184

Absence of Absolutely Continuous Spectrum for the Kirchhoff Laplacian on Radial Trees

Year of publication
2014
Publication
Annales Henri Poincare. 2014, 15(6), 1109-1121. ISSN 1424-0637.
Authors
Exner, P. Seifert, C. Stollmann, P.
Link
https://doi.org/10.1007/s00023-013-0274-4

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

Non-equilibrium current via geometric scatterers

Year of publication
2014
Publication
Journal of Physics A: Mathematical and Theoretical. 2014, 47(39), 1-16. ISSN 1751-8113.
Authors
Exner, P. Neidhardt, H. Tater, M. Zagrebnov, V.A.
Link
https://doi.org/10.1088/1751-8113/47/39/395301

Strong Coupling Asymptotics for a Singular Schrodinger Operator with an Interaction Supported by an Open Arc

Year of publication
2014
Publication
Communications in Partial Differential Equations. 2014, 39(2), 193-212. ISSN 0360-5302.
Authors
Exner, P. Pankrashkin, K.
Link
https://doi.org/10.1080/03605302.2013.851213

Tunneling resonances in systems without a classical trapping

Year of publication
2013
Publication
Journal of Mathematical Physics. 2013, 54(1), ISSN 0022-2488.
Authors
Borisov, D. Exner, P. Golovina, A.
Link
https://doi.org/10.1063/1.4773098

Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps

Year of publication
2013
Publication
Journal of Spectral Theory. 2013, 3(4), 465-484. ISSN 1664-039X.
Authors
Exner, P. Barseghyan, D.
Link
https://doi.org/10.4171/JST/51

Approximations of quantum-graph vertex couplings by singularly scaled potentials

Year of publication
2013
Publication
Journal of Physics A: Mathematical and Theoretical. 2013, 46(34), 1-17. ISSN 1751-8113.
Authors
Exner, P. Manko, S.
Link
https://doi.org/10.1088/1751-8113/46/34/345202

A General Approximation of Quantum Graph Vertex Couplings by Scaled Schrodinger Operators on Thin Branched Manifolds

Year of publication
2013
Publication
Communications in Mathematical Physics. 2013, 322(1), 207-227. ISSN 0010-3616.
Authors
Exner, P. Post, O.
Link
https://doi.org/10.1007/s00220-013-1699-9

Non-Weyl Asymptotics for Quantum Graphs with General Coupling Conditions

Year of publication
2010
Publication
Journal of Physics A: Mathematical and Theoretical. 2010, 43(47), 474013-0. ISSN 1751-8113.
Authors
Brian Davies, E. Exner, P. Lipovský, J.
Link
https://doi.org/10.1088/1751-8113/43/47/474013

Resonances from Perturbations of Quantum Graphs with Rationally Related Edges

Year of publication
2010
Publication
Journal of Physics A: Mathematical and Theoretical. 2010, 43(10), 105301-0. ISSN 1751-8113.
Authors
Exner, P. Lipovsky, J.
Link
https://doi.org/10.1088/1751-8113/43/10/105301

Approximation of Quantum Graph Vertex Couplings by Scaled Schrodinger Operators on Thin Branched Manifolds

Year of publication
2009
Publication
Journal of Physics A: Mathematical and Theoretical. 2009, 42(41), 415305-0. ISSN 1751-8113.
Authors
Exner, P. Post, O.
Link
https://doi.org/10.1088/1751-8113/42/41/415305

Spectral Filtering in Quantum Y-Junction

Year of publication
2009
Publication
Journal of the Physical Society of Japan. 2009, 78(12), 124004-0. ISSN 0031-9015.
Authors
Cheon, T. Exner, P. Turek, O.
Link
https://doi.org/10.1143/JPSJ.78.124004

On the Optimization of the Principal Eigenvalue for Single-Centre Point-Interaction Operators in a Bounded Region

Year of publication
2008
Publication
Journal of Physics A: Mathematical and Theoretical. 2008, 41(6), 065305-0. ISSN 1751-8113.
Authors
Exner, P. Mantile, A.
Link
https://doi.org/10.1088/1751-8113/41/6/065305