Biagio Cassano and Vladimir Lotoreichik
Self-adjointness for the MIT bag model on an unbounded cone
submitted. arXiv.
David Krejcirik and Vladimir Lotoreichik
Quasi-conical domains with embedded eigenvalues
submitted. arXiv.
David Krejcirik, Vladimir Lotoreichik, and Tuyen Vu
Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle
submitted. arXiv.
Pavel Exner, Sylwia Kondej, and Vladimir Lotoreichik
Bound states of weakly deformed soft waveguides
submitted. arXiv.
Biagio Cassano, Vladimir Lotoreichik, Albert Mas, and Matej Tusek
General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
to appear in Rev. Mat. Iberoam.
arXiv.
Jussi Behrndt, Vladimir Lotoreichik, and Peter Schlosser
Schrödinger operators with δ-potentials supported on unbounded Lipschitz hypersurfaces
to appear in Oper. Theory. Adv. Appl. arXiv.
Dale Frymark and Vladimir Lotoreichik
Self-adjointness of the 2D Dirac operator with singular interactions supported on star graphs
to appear in Ann. Henri Poincaré. arXiv.
Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik, and Georgi Raikov
The fate of Landau levels under δ-interactions
to appear in J. Spectral Theory.
arXiv.
Vladimir Lotoreichik
An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain
J. Differential Equations 345 (2023), 285–313. arXiv.
Ayman Kachmar and Vladimir Lotoreichik
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter
J. Geom. Anal. 32 (2022), 182. arXiv.
Correction
Magda Khalile and Vladimir Lotoreichik
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones
J. Spectr. Theory. 12 (2022), 683–706.
arXiv.
Pavel Exner and Vladimir Lotoreichik
Spectral optimization for Robin Laplacian on domains admitting parallel coordinates
Math. Nachr. 295 (2022), 1163–1173. arXiv.
Monique Dauge, Michal Jex, and Vladimir Lotoreichik
Trace Hardy inequality for the Euclidean space with a cut and its applications
J. Math. Anal. Appl. 500 (2021), 125124.
arXiv.
Pavel Exner and Vladimir Lotoreichik
Optimization of the lowest eigenvalue of a soft quantum ring
Lett. Math. Phys. 111 (2021), 28.
arXiv.
Vladimir Lotoreichik
Spectral isoperimetric inequality for the δ'-interaction on a contour
Michelangeli A. (eds) Mathematical Challenges of Zero-Range Physics. Springer INdAM Series, vol 42. Springer, Cham, 2021.
arXiv.
Vladimir Lotoreichik and Alessandro Michelangeli
Faber-Krahn inequalities for Schrödinger operators with point and with Coulomb interactions
J. Math. Phys. 62 (2021), 012105.
arXiv.
Pedro Antunes, Rafael Benguria, Vladimir Lotoreichik, and Thomas Ourmieres-Bonafos
A variational formulation for Dirac operators in bounded domains.
Applications to spectral geometric inequalities
Commun. Math. Phys. 386 (2021), 781–818.
arXiv.
David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin, and Matej Tusek
Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
J. Evol. Equ. 21 (2021), 1651–1675. arXiv.
Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
The Landau Hamiltonian with δ-potentials supported on curves
Rev. Math. Phys. 32 (2020), 2050010.
arXiv.
Biagio Cassano and Vladimir Lotoreichik
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions
Operators and Matrices 14 (2020), 667–678.
arXiv.
David Krejcirik and Vladimir Lotoreichik
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, II: non-convex domains and higher dimensions
Potential Anal. 52 (2020), 601–614. arXiv.
Pavel Exner and Vladimir Lotoreichik
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
Integral Equations and Operator Theory 92 (2020), 15.
arXiv.
Jussi Behrndt, Pavel Exner, Markus Holzmann, and Vladimir Lotoreichik
On Dirac operators in ℝ^{3} with electrostatic and Lorentz scalar δ-shell interactions
Quantum Stud. Math. Found. 6 (2019), 295–314.
Vladimir Lotoreichik and Thomas Ourmières-Bonafos
A sharp upper bound on the spectral gap for graphene quantum dots
Math. Phys. Anal. Geom. 22 (2019), 13.
arXiv.
Vladimir Lotoreichik
Spectral isoperimetric inequalities for singular interactions on open arcs
Appl. Anal. 98 (2019), 1451–1460. arXiv.
David Krejcirik, Vladimir Lotoreichik, and Thomas Ourmières-Bonafos
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
Proc. Roy. Soc. Edinburgh Sect. A. 149 (2019), 1663–1687.
arXiv.
David Krejcirik, Vladimir Lotoreichik, and Miloslav Znojil
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics
Proc. R. Soc. A. 474 (2018), 0264. arXiv.
Pavel Exner, Vladimir Lotoreichik, and Axel Perez-Obiol
On the bound states of magnetic Laplacians on wedges
Rep. Math. Phys. 82 (2018), 161–185.
arXiv.
Markus Holzmann and Vladimir Lotoreichik
Spectral analysis of photonic crystals made of thin rods
Asymptotic Anal. 110 (2018), 83–112.
arXiv.
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Spectral enclosures for non-self-adjoint extensions of symmetric operators
J. Funct. Anal. 275 (2018), 1808–1888
Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
On the spectral properties of Dirac operators with electrostatic δ-shell interactions
J. Math. Pures Appl. 111 (2018), 47–78. arXiv.
Pavel Exner, Sylwia Kondej, and Vladimir Lotoreichik
Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane
J. Math. Phys. 59 (2018), 013501 (featured article).
arXiv.
David Krejcirik and Vladimir Lotoreichik
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
J. Convex Anal. 25 (2018), 319–337.
arXiv.
Jiri Lipovsky and Vladimir Lotoreichik
Asymptotics of resonances induced by point interactions
Acta Phys. Pol. A. 132 (2017), 1677–1682.
arXiv.
Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
Math. Nachr. 290 (2017), 1215–1248.
arXiv.
Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik and Jonathan Rohleder
Spectral theory for Schrödinger operators with δ-interactions supported on curves in ℝ³
Ann. Henri Poincaré 18 (2017), 1305–1347.
arXiv.
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Quasi boundary triples and semibounded self-adjoint extensions
Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017), 895–916.
arXiv.
Vladimir Lotoreichik and Jonathan Rohleder
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
J. Differential Equations 263 (2017), 491–508.
arXiv.
Pavel Exner and Vladimir Lotoreichik
A spectral isoperimetric inequality for cones
Lett. Math. Phys. 107 (2017), 717–732.
arXiv.
Pavel Exner, Vladimir Lotoreichik, and Miloš Tater
Spectral and resonance properties of the Smilansky Hamiltonian
Phys. Lett. A. 381 (2017), 756–761.
arXiv.
Vladimir Lotoreichik and Petr Siegl
Spectra of definite type in waveguide models
Proc. Amer. Math. Soc. 145 (2017), 1231–1246.
arXiv.
Michal Jex and Vladimir Lotoreichik
On absence of bound states for weakly attractive δ'-interactions
supported on non-closed curves in ℝ²
J. Math. Phys. 57 (2016), 022101. arXiv.
Vladimir Lotoreichik and Thomas Ourmières-Bonafos
On the bound states of Schrödinger operators with δ-interactions on conical surfaces
Comm. Partial Differential Equations 41 (2016), 999–1028.
arXiv.
Jussi Behrndt, Gerd Grubb, Matthias Langer, and Vladimir Lotoreichik
Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces
J. Spectr. Theory. 5 (2015), 697–729. arXiv.
Vladimir Lotoreichik and Jonathan Rohlelder
An eigenvalue inequality for Schrödinger operators with δ and δ′-interactions supported on hypersurfaces
Oper. Theory Adv. Appl. 247 (2015), 173–184. arXiv.
Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ-interactions supported on conical surfaces
J. Phys. A: Math. Theor. 47 (2014), 355202 (16pp).
arXiv. (Open Access).
Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Rev. Math. Phys. 26 (2014), 1450015 (43pp).
arXiv.
Vladimir Lotoreichik
Lower bounds on the norms of extension operators for Lipschitz domains
Operators and Matrices 8 (2014), 573–592.
arXiv.
Sylwia Kondej and Vladimir Lotoreichik
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure
J. Math. Anal. Appl. 420 (2014), 1416–1438.
arXiv. (Open Access).
Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
J. London. Math. Soc. (2) 88 (2013), 319–337.
arXiv.
Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Integral Equations and Operator Theory 77 (2013), 1–37.
arXiv.
Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Schrödinger operators with δ and δ'-potentials supported on hypersurfaces
Ann. Henri Poincaré 14 (2013), 385–423.
arXiv.
Vladimir Lotoreichik and Jonathan Rohleder
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Oper. Theory Adv. Appl. 221 (2012), 471–486.
arXiv.
Vladimir Lotoreichik
Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set
Opuscula Math. 31 (2011), 615–628.
(Open Access).
Jussi Behrndt, Matthias Langer, Igor Lobanov, Vladimir Lotoreichik and Igor Yu. Popov
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
J. Math. Anal. Appl. 371 (2010), 750–758.
arXiv.
Igor Lobanov, Vladimir Lotoreichik, and Igor Yu. Popov
Lower bound on the spectrum of the two-dimensional
Schrödinger operator with a delta-perturbation on a curve
Theor. Math. Phys. 162 (2010), 332–340.
Pavel Exner and Vladimir Lotoreichik
Optimization of the lowest eigenvalue for leaky star graphs
in Proceedings of the conference "Mathematical Results in Quantum Physics" (QMath13, Atlanta 2016; F. Bonetto, D. Borthwick, E. Harrell, M. Loss, eds.),
Contemporary Mathematics, AMS, Providence, R.I. 2018; 187–196
arXiv.
Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae for Schrödinger operators with singular interactions
The Pavel Exner Anniversary Volume, EMS (2017), 129–152.
arXiv.
Pavel Exner, Vladimir Lotoreichik, and Miloš Tater
On resonances and bound states of Smilansky Hamiltonian
Nanosystems: Physics, Chemistry, Mathematics 7 (2016), 789–802.
arXiv.
Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik,
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces,
Nanosystems: Phys. Chem. Math. 7 (2016), 290–302.
Jussi Behrndt, Markus Holzmann, and Vladimir Lotoreichik
Convergence of 2D-Schrödinger operators with local scaled
short-range interactions to a Hamiltonian with infinitely many delta-point interactions
Proc. Appl. Math. Mech. 14 (2014), 1005-1006. (Open Access).
Vladimir Lotoreichik, Hagen Neidhardt, and Igor Yu. Popov
Point contacts and boundary triples
Mathematical Results in Quantum Mechanics, Proceedings of the QMath12 Conference, P. Exner, W. König, and
H. Neidhardt (eds), World Scientific, Singapore, 2015, pp. 283--293.
arXiv.
Vladimir Lotoreichik
Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines
Nanosystems: Phys. Chem. Math. 4 (2013), 1–7.
arXiv. (Open Access).
Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Essential spectrum of Schrödinger operators with δ-interactions
on the union of compact Lipschitz hypersurfaces
Proc. Appl. Math. Mech. (2013), 523–524. (Open Access).