Schrödinger operator on the axis with potentials depending on two parameters

DOI10.1090/S1061-0022-2011-01174-4zbMath1232.35108MaRDI QIDQ3104488

I. Kh. Khusnullin, Rustem R. Gadyl'shin

Publication date: 14 December 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

eigenvalueperturbationasymptotic expansionSchrödinger operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Perturbation of a periodic operator by a narrow potential ⋮ Asymptotics of the Schrödinger operator levels for a crystal film with a nonlocal potential ⋮ Unnamed Item ⋮ On perturbation of a Schrödinger operator on axis by narrow potentials

Cites Work

• On the bound state of Schrödinger operators in one dimension
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Local perturbations of the Schrödinger operator on the axis
• Perturbed boundary eigenvalue problem for the Schrödinger operator on an interval
• On the spectrum of a periodic operator with a small localized perturbation

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