Schrödinger operators with moving point perturbations and related solvable models of quantum mechanical systems

DOI10.4171/ZAA/807zbMath0897.35054OpenAlexW1977589319MaRDI QIDQ1381120

I. V. Chudaev, Vladimir A. Geyler

Publication date: 17 March 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/807

zbMATH Keywords

Dirac delta functionvariation of eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear symmetric and selfadjoint operators (unbounded) (47B25) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

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Spectral properties of a short-range impurity in a quantum dot ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Vladimir A. Geyler

Cites Work

• Potentials of zero radius and Carleman operators
• The spectrum of a quasi-two-dimensional system in a parallel magnetic field
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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