Antibound states for a class of one-dimensional Schrödinger operators

DOI10.1007/BF00943436zbMath0485.47033MaRDI QIDQ1164250

A. Angeletti

Publication date: 1980

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

zbMATH Keywords

Schrödinger operatorsantibound statesdelta function potentialFriedrich modelHamiltonians on the second Riemann sheetKato-Rellich theoremnested Hilbert spacessingularities of the resolvent

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) PDEs with low regular coefficients and/or low regular data (35R05) 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) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (1)

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Cites Work

• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Nested Hilbert Spaces in Quantum Mechanics. I

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