On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
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Publication:1417857
DOI10.1023/A:1027396004785zbMath1056.34093OpenAlexW191222038MaRDI QIDQ1417857
Leonid P. Nizhnik, Sergio A. Albeverio
Publication date: 6 January 2004
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1027396004785
Schrödinger operatorscontinued fractionsnumber of negative eigenvaluespoint interactionsnegative eigenvalues
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10)
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On the number of discrete eigenvalues of a discrete Schrödinger operator with a finitely supported potential ⋮ The spectrum of the Schrödinger–Hamiltonian for trapped particles in a cylinder with a topological defect perturbed by two attractive delta interactions ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ The one-dimensional Schrödinger operator with point \(\delta \) - and \(\delta \) -interactions ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ On the spectrum of the Schrödinger Hamiltonian with a particular configuration of three one-dimensional point interactions ⋮ A one-dimensional Schrödinger operator with point interactions on Sobolev spaces ⋮ A Schrödinger operator with point interactions on Sobolev spaces ⋮ On the negative spectrum of one-dimensional Schrödinger operators with point interactions ⋮ On the number of negative eigenvalues of a Schrödinger operator with point interactions ⋮ On the spectrum of a discrete Laplacian on ℤ with finitely supported potential ⋮ Upper bounds on the number of eigenvalues of stationary Schrödinger operators ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set ⋮ Scattering data and bound states of a squeezed double-layer structure ⋮ Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials
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