- Jussi Behrndt, Gerd Grubb, Matthias Langer, Vladimir Lotoreichik
Spectral asymptotics for resolvent differences of elliptic operators with δ and δ′-interactions on hypersurfaces
submitted. arXiv.
Refereed publications: |
- Vladimir Lotoreichik and Jonathan Rohlelder
An eigenvalue inequality for Schrödinger operators with δ and δ'-interactions supported on hypersurfaces,
to appear in Oper. Theory Adv. Appl. arXiv.
- 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, Hagen Neidhardt, and Igor Yu. Popov
Point contacts and boundary triples
to appear in proceedings of the Conference QMath12.
arXiv.
- Vladimir Lotoreichik and Sergey Simonov
Spectral analysis of the Kronig-Penney model with Wigner-von Neumann perturbations
to appear in Rep. Math. Phys.
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.
- 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.
- Vladimir Lotoreichik
Lower bounds on the norms of extension operators for Lipschitz domains
Operators and Matrices 8 (2014), 573–592.
Journal-Ref.
arXiv.
- 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.
Journal-Ref.
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.
Journal-Ref.
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.
Journal-Ref.
PDF.
- 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.Journal-Ref.
arXiv.
- Vladimir Lotoreichik
Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set
Opuscula Math. 31 (2011), 615–628. Journal-Ref
(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.
Journal-Ref.
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.
Journal-Ref.
| Other publications: |
- Vladimir Lotoreichik
Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines
Nanosystems: Phys. Chem. Math. 4 (2013), 1–7.
Journal-Ref (Open Access). arXiv.
- 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.
Journal-Ref (Open Access).
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