Borisov, D. I.; Exner, P. Approximation of point interactions by geometric perturbations in two-dimensional domains. (English) Zbl 1522.35029 Bull. Math. Sci. 13, No. 2, Article ID 2250003, 30 p. (2023). MSC: 35B25 35J10 35J25 35P05 81Q15 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{P. Exner}, Bull. Math. Sci. 13, No. 2, Article ID 2250003, 30 p. (2023; Zbl 1522.35029) Full Text: DOI arXiv
Baradaran, Marzieh; Exner, Pavel; Tater, Miloš Ring chains with vertex coupling of a preferred orientation. (English) Zbl 1499.81055 Rev. Math. Phys. 33, No. 1, Article ID 2060005, 14 p. (2021). MSC: 81Q35 35J10 47A10 PDFBibTeX XMLCite \textit{M. Baradaran} et al., Rev. Math. Phys. 33, No. 1, Article ID 2060005, 14 p. (2021; Zbl 1499.81055) Full Text: DOI arXiv
Exner, Pavel Schrödinger operators with a switching effect. (English) Zbl 07357279 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 13-31 (2020). MSC: 81Q10 35J10 35P15 PDFBibTeX XMLCite \textit{P. Exner}, in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 13--31 (2020; Zbl 07357279) Full Text: DOI arXiv
Exner, Pavel Spectral optimization for singular Schrödinger operators. (English) Zbl 1462.81096 Oper. Matrices 14, No. 3, 705-716 (2020). MSC: 81Q35 35J10 81Q05 46F10 35P15 PDFBibTeX XMLCite \textit{P. Exner}, Oper. Matrices 14, No. 3, 705--716 (2020; Zbl 1462.81096) Full Text: DOI
Exner, Pavel Leaky quantum structures. (English. Russian original) Zbl 1457.81041 Proc. Steklov Inst. Math. 311, 114-128 (2020); translation from Tr. Mat. Inst. Steklova 311, 123-139 (2020). MSC: 81Q10 46F10 81Q35 47A58 14B07 81Q70 35P05 PDFBibTeX XMLCite \textit{P. Exner}, Proc. Steklov Inst. Math. 311, 114--128 (2020; Zbl 1457.81041); translation from Tr. Mat. Inst. Steklova 311, 123--139 (2020) Full Text: DOI
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir The Landau Hamiltonian with \(\delta \)-potentials supported on curves. (English) Zbl 1465.35132 Rev. Math. Phys. 32, No. 4, Article ID 2050010, 51 p. (2020). MSC: 35J10 35P20 35Q40 81Q10 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Rev. Math. Phys. 32, No. 4, Article ID 2050010, 51 p. (2020; Zbl 1465.35132) Full Text: DOI arXiv
Exner, Pavel Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions. (English) Zbl 1449.81025 Afr. Mat. 31, No. 1, 71-88 (2020). MSC: 81Q37 35J10 81-02 PDFBibTeX XMLCite \textit{P. Exner}, Afr. Mat. 31, No. 1, 71--88 (2020; Zbl 1449.81025) Full Text: DOI arXiv
Exner, P.; Kondej, S. Spectral optimization for strongly singular Schrödinger operators with a star-shaped interaction. (English) Zbl 1436.81045 Lett. Math. Phys. 110, No. 4, 735-751 (2020). MSC: 81Q10 35J10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{S. Kondej}, Lett. Math. Phys. 110, No. 4, 735--751 (2020; Zbl 1436.81045) Full Text: DOI arXiv
Exner, Pavel An optimization problem for finite point interaction families. (English) Zbl 1509.81459 J. Phys. A, Math. Theor. 52, No. 40, Article ID 405302, 12 p. (2019). MSC: 81Q05 PDFBibTeX XMLCite \textit{P. Exner}, J. Phys. A, Math. Theor. 52, No. 40, Article ID 405302, 12 p. (2019; Zbl 1509.81459) Full Text: DOI arXiv
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions. (English) Zbl 1423.81072 Quantum Stud. Math. Found. 6, No. 3, 295-314 (2019). MSC: 81Q10 81R20 81R25 35Q40 47B25 35P05 81Q20 47A10 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Quantum Stud. Math. Found. 6, No. 3, 295--314 (2019; Zbl 1423.81072) Full Text: DOI arXiv
Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen Spectral theory of infinite quantum graphs. (English) Zbl 1476.81047 Ann. Henri Poincaré 19, No. 11, 3457-3510 (2018). MSC: 81Q35 81Q10 PDFBibTeX XMLCite \textit{P. Exner} et al., Ann. Henri Poincaré 19, No. 11, 3457--3510 (2018; Zbl 1476.81047) Full Text: DOI arXiv
Exner, Pavel; Turek, Ondřej; Tater, Miloš A family of quantum graph vertex couplings interpolating between different symmetries. (English) Zbl 1396.81098 J. Phys. A, Math. Theor. 51, No. 28, Article ID 285301, 22 p. (2018). MSC: 81Q35 05C07 17B69 82D25 41A05 81R05 35P25 PDFBibTeX XMLCite \textit{P. Exner} et al., J. Phys. A, Math. Theor. 51, No. 28, Article ID 285301, 22 p. (2018; Zbl 1396.81098) Full Text: DOI arXiv
Exner, P.; Kondej, S. Aharonov and Bohm versus Welsh eigenvalues. (English) Zbl 1396.81090 Lett. Math. Phys. 108, No. 9, 2153-2167 (2018). MSC: 81Q10 35J10 81Q70 PDFBibTeX XMLCite \textit{P. Exner} and \textit{S. Kondej}, Lett. Math. Phys. 108, No. 9, 2153--2167 (2018; Zbl 1396.81090) Full Text: DOI arXiv
Exner, Pavel; Lipovský, Jiří Smilansky-Solomyak model with a \(\delta^\prime\)-interaction. (English) Zbl 1383.81094 Phys. Lett., A 382, No. 18, 1207-1213 (2018). MSC: 81Q50 81Q10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{J. Lipovský}, Phys. Lett., A 382, No. 18, 1207--1213 (2018; Zbl 1383.81094) Full Text: DOI arXiv
Barseghyan, Diana; Exner, Pavel A regular analogue of the Smilansky model: spectral properties. (English) Zbl 1384.81023 Rep. Math. Phys. 80, No. 2, 177-192 (2017). MSC: 81Q05 47B15 81Q10 PDFBibTeX XMLCite \textit{D. Barseghyan} and \textit{P. Exner}, Rep. Math. Phys. 80, No. 2, 177--192 (2017; Zbl 1384.81023) Full Text: DOI arXiv
Exner, Pavel; Lotoreichik, Vladimir; Tater, Miloš Spectral and resonance properties of the Smilansky Hamiltonian. (English) Zbl 1372.81041 Phys. Lett., A 381, No. 8, 756-761 (2017). MSC: 81Q05 81V70 81Q35 PDFBibTeX XMLCite \textit{P. Exner} et al., Phys. Lett., A 381, No. 8, 756--761 (2017; Zbl 1372.81041) Full Text: DOI arXiv
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir Approximation of Schrödinger operators with {\(\delta\)}-interactions supported on hypersurfaces. (English) Zbl 1376.35010 Math. Nachr. 290, No. 8-9, 1215-1248 (2017). Reviewer: Christian Seifert (Hamburg) MSC: 35J10 81Q10 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Math. Nachr. 290, No. 8--9, 1215--1248 (2017; Zbl 1376.35010) Full Text: DOI arXiv
Exner, Pavel; Manko, Stepan Spectral properties of magnetic chain graphs. (English) Zbl 1370.81075 Ann. Henri Poincaré 18, No. 3, 929-953 (2017). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 81Q35 81Q05 35P05 39A12 PDFBibTeX XMLCite \textit{P. Exner} and \textit{S. Manko}, Ann. Henri Poincaré 18, No. 3, 929--953 (2017; Zbl 1370.81075) Full Text: DOI arXiv
Exner, Pavel; Kondej, Sylwia Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions. (English) Zbl 1378.81032 Rep. Math. Phys. 77, No. 1, 1-17 (2016). MSC: 81Q10 35J10 35P15 35Q40 PDFBibTeX XMLCite \textit{P. Exner} and \textit{S. Kondej}, Rep. Math. Phys. 77, No. 1, 1--17 (2016; Zbl 1378.81032) Full Text: DOI arXiv
Exner, Pavel; Rohleder, Jonathan Generalized interactions supported on hypersurfaces. (English) Zbl 1339.81038 J. Math. Phys. 57, No. 4, 041507, 23 p. (2016). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 47F05 47A55 47A63 47A75 PDFBibTeX XMLCite \textit{P. Exner} and \textit{J. Rohleder}, J. Math. Phys. 57, No. 4, 041507, 23 p. (2016; Zbl 1339.81038) Full Text: DOI arXiv
Exner, Pavel; Khrabustovskyi, Andrii On the spectrum of narrow Neumann waveguide with periodically distributed \(\delta^\prime\) traps. (English) Zbl 1325.81091 J. Phys. A, Math. Theor. 48, No. 31, Article ID 315301, 13 p. (2015). MSC: 81Q37 81Q05 46F10 81Q10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{A. Khrabustovskyi}, J. Phys. A, Math. Theor. 48, No. 31, Article ID 315301, 13 p. (2015; Zbl 1325.81091) Full Text: DOI arXiv
Exner, Pavel; Jex, Michal Spectral asymptotics of a strong \(\delta'\) interaction supported by a surface. (English) Zbl 1331.81093 Phys. Lett., A 378, No. 30-31, 2091-2095 (2014). MSC: 81Q05 81Q10 35J10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{M. Jex}, Phys. Lett., A 378, No. 30--31, 2091--2095 (2014; Zbl 1331.81093) Full Text: DOI arXiv
Behrndt, Jussi; Exner, Pavel; Lotoreichik, Vladimir Schrödinger operators with \(\delta\)- and \(\delta'\)-interactions on Lipschitz surfaces and chromatic numbers of associated partitions. (English) Zbl 1326.47050 Rev. Math. Phys. 26, No. 8, Article ID 1450015, 43 p. (2014). Reviewer: Miyeon Kwon (Platteville) MSC: 47F05 35P05 47A55 47A63 47A75 81Q10 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Rev. Math. Phys. 26, No. 8, Article ID 1450015, 43 p. (2014; Zbl 1326.47050) Full Text: DOI arXiv
Exner, Pavel; Manko, Stepan S. Approximations of quantum-graph vertex couplings by singularly scaled rank-one operators. (English) Zbl 1300.81045 Lett. Math. Phys. 104, No. 9, 1079-1094 (2014). MSC: 81Q35 81Q10 81U20 PDFBibTeX XMLCite \textit{P. Exner} and \textit{S. S. Manko}, Lett. Math. Phys. 104, No. 9, 1079--1094 (2014; Zbl 1300.81045) Full Text: DOI arXiv
Exner, Pavel; Post, Olaf A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds. (English) Zbl 1270.81099 Commun. Math. Phys. 322, No. 1, 207-227 (2013). MSC: 81Q35 81Q05 47A10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{O. Post}, Commun. Math. Phys. 322, No. 1, 207--227 (2013; Zbl 1270.81099) Full Text: DOI arXiv
Carlone, Raffaele; Exner, Pavel Dynamics of an electron confined to a “hybrid plane” and interacting with a magnetic field. (English) Zbl 1239.81039 Rep. Math. Phys. 67, No. 2, 211-227 (2011). MSC: 81Q05 81Q10 PDFBibTeX XMLCite \textit{R. Carlone} and \textit{P. Exner}, Rep. Math. Phys. 67, No. 2, 211--227 (2011; Zbl 1239.81039) Full Text: DOI arXiv
Exner, P.; Šeba, P. A “hybrid plane” with spin-orbit interaction. (English) Zbl 1175.81092 Russ. J. Math. Phys. 14, No. 4, 430-434 (2007). MSC: 81Q05 PDFBibTeX XMLCite \textit{P. Exner} and \textit{P. Šeba}, Russ. J. Math. Phys. 14, No. 4, 430--434 (2007; Zbl 1175.81092) Full Text: DOI arXiv
Albeverio, S.; Brüning, J.; Dobrokhotov, S.; Exner, P.; Koshmanenko, V.; Pankrashkin, K.; Pavlov, B.; Popov, I.; Šovíček, P. Vladimir A. Geyler. (English) Zbl 1173.01312 Russ. J. Math. Phys. 14, No. 4, 371-376 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Russ. J. Math. Phys. 14, No. 4, 371--376 (2007; Zbl 1173.01312) Full Text: DOI
Exner, Pavel; Fraas, Martin On the dense point and absolutely continuous spectrum for Hamiltonians with concentric \(\delta\) shells. (English) Zbl 1136.35019 Lett. Math. Phys. 82, No. 1, 25-37 (2007). MSC: 35J10 35P05 81Q10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{M. Fraas}, Lett. Math. Phys. 82, No. 1, 25--37 (2007; Zbl 1136.35019) Full Text: DOI arXiv
Exner, Pavel; Harrell, Evans M.; Loss, Michael Inequalities for means of chords, with application to isoperimetric problems. (English) Zbl 1111.35019 Lett. Math. Phys. 75, No. 3, 225-233 (2006); addendum ibid. 77, No. 2, 219 (2006). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 35P15 35J10 51P05 81Q05 PDFBibTeX XMLCite \textit{P. Exner} et al., Lett. Math. Phys. 75, No. 3, 225--233 (2006; Zbl 1111.35019) Full Text: DOI arXiv
Exner, Pavel The von Neumann way to treat systems of mixed dimensionality. (English) Zbl 1140.81381 Rep. Math. Phys. 55, No. 1, 79-92 (2005). MSC: 81Q10 35J05 35P05 35P25 81U05 PDFBibTeX XMLCite \textit{P. Exner}, Rep. Math. Phys. 55, No. 1, 79--92 (2005; Zbl 1140.81381) Full Text: DOI
Exner, Pavel; Post, Olaf Convergence of spectra of graph-like thin manifolds. (English) Zbl 1095.58007 J. Geom. Phys. 54, No. 1, 77-115 (2005). Reviewer: Viorel Iftimie (Bucureşti) MSC: 58J50 35P05 PDFBibTeX XMLCite \textit{P. Exner} and \textit{O. Post}, J. Geom. Phys. 54, No. 1, 77--115 (2005; Zbl 1095.58007) Full Text: DOI arXiv
Exner, P.; Němcová, K. Magnetic layers with periodic point perturbations. (English) Zbl 1058.81017 Rep. Math. Phys. 52, No. 2, 255-280 (2003). MSC: 81Q15 47B25 47N50 PDFBibTeX XMLCite \textit{P. Exner} and \textit{K. Němcová}, Rep. Math. Phys. 52, No. 2, 255--280 (2003; Zbl 1058.81017) Full Text: DOI arXiv
Cheon, T.; Exner, P. Persistent currents due to point obstacles. (English) Zbl 1006.82039 Phys. Lett., A 307, No. 4, 209-214 (2003). MSC: 82D55 PDFBibTeX XMLCite \textit{T. Cheon} and \textit{P. Exner}, Phys. Lett., A 307, No. 4, 209--214 (2003; Zbl 1006.82039) Full Text: DOI arXiv
Exner, P.; Němcová, K. Quantum mechanics of layers with a finite number of point perturbations. (English) Zbl 1059.81063 J. Math. Phys. 43, No. 3, 1152-1184 (2002). MSC: 81Q15 35P15 47A55 47N50 81Q05 PDFBibTeX XMLCite \textit{P. Exner} and \textit{K. Němcová}, J. Math. Phys. 43, No. 3, 1152--1184 (2002; Zbl 1059.81063) Full Text: DOI arXiv
Exner, Pavel; Yoshitomi, Kazushi Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop. (English) Zbl 1083.35034 J. Geom. Phys. 41, No. 4, 344-358 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 35J10 35P15 47F05 81Q10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{K. Yoshitomi}, J. Geom. Phys. 41, No. 4, 344--358 (2002; Zbl 1083.35034) Full Text: DOI arXiv
Cheon, Taksu; Exner, Pavel; Šeba, Petr Wave function shredding by sparse quantum barriers. (English) Zbl 1135.81336 Phys. Lett., A 277, No. 1, 1-6 (2000). MSC: 81Q10 81U99 PDFBibTeX XMLCite \textit{T. Cheon} et al., Phys. Lett., A 277, No. 1, 1--6 (2000; Zbl 1135.81336) Full Text: DOI arXiv
Exner, Pavel; Geyler, Vladimir A. Berry phase for a potential well transported in a homogeneous magnetic field. (English) Zbl 1135.81341 Phys. Lett., A 276, No. 1-4, 16-18 (2000). MSC: 81Q70 PDFBibTeX XMLCite \textit{P. Exner} and \textit{V. A. Geyler}, Phys. Lett., A 276, No. 1--4, 16--18 (2000; Zbl 1135.81341) Full Text: DOI arXiv
Exner, Pavel; Geyler, Vladimir A. Berry phase in magnetic systems with point perturbations. (English) Zbl 1120.81302 J. Geom. Phys. 36, No. 1-2, 178-197 (2000). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 81Q70 81V10 PDFBibTeX XMLCite \textit{P. Exner} and \textit{V. A. Geyler}, J. Geom. Phys. 36, No. 1--2, 178--197 (2000; Zbl 1120.81302) Full Text: DOI arXiv
Exner, P.; Joye, A.; Kovařík, H. Edge currents in the absence of edges. (English) Zbl 0940.82059 Phys. Lett., A 264, No. 2-3, 124-130 (1999). MSC: 82D99 PDFBibTeX XMLCite \textit{P. Exner} et al., Phys. Lett., A 264, No. 2--3, 124--130 (1999; Zbl 0940.82059) Full Text: DOI arXiv
Exner, P. A duality between Schrödinger operators on graphs and certain Jacobi matrices. (English) Zbl 0949.34073 Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 4, 359-371 (1997). Reviewer: M.Shahin (Dallas) MSC: 34L40 81Q05 34B45 PDFBibTeX XMLCite \textit{P. Exner}, Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 4, 359--371 (1997; Zbl 0949.34073) Full Text: arXiv Numdam EuDML
Exner, P.; Šeba, P. Point interactions in two and three dimensions as models of small scatterers. (English) Zbl 0972.81532 Phys. Lett., A 222, No. 1-2, 1-4 (1996). MSC: 81Q05 47N50 PDFBibTeX XMLCite \textit{P. Exner} and \textit{P. Šeba}, Phys. Lett., A 222, No. 1--2, 1--4 (1996; Zbl 0972.81532) Full Text: DOI arXiv
Exner, P.; Šeba, P. Quantum motion on two planes connected at one point. (English) Zbl 0612.46072 Lett. Math. Phys. 12, 193-198 (1986). MSC: 46N99 81Q10 47A20 PDFBibTeX XMLCite \textit{P. Exner} and \textit{P. Šeba}, Lett. Math. Phys. 12, 193--198 (1986; Zbl 0612.46072) Full Text: DOI
Exner, P.; Kolerov, G. I. Polygonal-path approximations on the path spaces of quantum-mechanical systems. (English) Zbl 0495.28012 Int. J. Theor. Phys. 21, 397-417 (1982). MSC: 28C20 81S40 PDFBibTeX XMLCite \textit{P. Exner} and \textit{G. I. Kolerov}, Int. J. Theor. Phys. 21, 397--417 (1982; Zbl 0495.28012) Full Text: DOI
Exner, P.; Kolerov, G. I. Uniform product formulae with application to the Feynman-Nelson integral for open systems. (English) Zbl 0487.28013 Lett. Math. Phys. 6, 153-159 (1982). MSC: 28C20 81S40 46N99 PDFBibTeX XMLCite \textit{P. Exner} and \textit{G. I. Kolerov}, Lett. Math. Phys. 6, 153--159 (1982; Zbl 0487.28013) Full Text: DOI