Lower bound on the spectrum of the two-dimensional Schrödinger operator with a \(\delta \)-perturbation on a curve

DOI10.1007/s11232-010-0025-3zbMath1196.81109OpenAlexW2023038156MaRDI QIDQ1956842

I. S. Lobanov, V. Yu. Lotoreichik, Igor Yu. Popov

Publication date: 24 September 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0025-3

zbMATH Keywords

Schrödinger operator singular potential spectral estimate Birman-Schwinger transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (7)

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Numerical approach to the Stokes problem with high contrasts in viscosity ⋮ Regular potential approximation for \(\delta\)-perturbation supported by curve of the Laplace-Beltrami operator on the sphere ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Upper bound for the number of bound states induced by the curvature of singular potential ⋮ A Klein-Gordon particle captured by embedded curves ⋮ Bound states asymptotics in the system with quantum wires in ℝ³

Cites Work

This page was built for publication: Lower bound on the spectrum of the two-dimensional Schrödinger operator with a \(\delta \)-perturbation on a curve