Schrödinger operators with few bound states

DOI10.1007/s00220-005-1366-xzbMath1082.47029arXivmath-ph/0409074OpenAlexW1982620159MaRDI QIDQ2571159

David Damanik, Barry Simon, Rowan Killip

Publication date: 1 November 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0409074

zbMATH Keywords

Schrödinger operatorspectrumbound statesdiscrete Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Linear difference operators (47B39)

Related Items (11)

Schrödinger operators with many bound states ⋮ The spectrum of non-local discrete Schrödinger operators with a \(\delta\)-potential ⋮ Bounds on the discrete spectrum of lattice Schrödinger operators ⋮ Discrete and embedded eigenvalues for one-dimensional Schrödinger operators ⋮ Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range ⋮ A Liouville-type theorem for Schrödinger operators ⋮ On the difference of spectral projections ⋮ On the spectrum of Schrödinger operators with a finitely supported potential on the \(d\)-regular tree ⋮ Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case ⋮ On the spectrum of a discrete Laplacian on ℤ with finitely supported potential ⋮ Bound states of discrete Schrödinger operators with super-critical inverse square potentials

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