On the number of negative eigenvalues of a Schrödinger operator with point interactions

DOI10.1007/s11005-008-0258-3zbMath1173.34359OpenAlexW2043230918MaRDI QIDQ1013609

Osamu Ogurisu

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-008-0258-3

zbMATH Keywords

Schrödinger operatorpoint interactionsnegative eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

On the number of discrete eigenvalues of a discrete Schrödinger operator with a finitely supported potential ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ On the negative spectrum of one-dimensional Schrödinger operators 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

Cites Work

• On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
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