Smooth approximation of singular perturbations

DOI10.1016/S0022-247X(03)00163-XzbMath1031.47051MaRDI QIDQ1399854

Rhonda J. Hughes, Walter B. III Huddell

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationpoint interactionsapproximation by smooth potentialsconvergence in strong resolvent sense

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Schrödinger and Feynman-Kac semigroups (47D08)

Cites Work

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• Finite-rank perturbations of the Dirac operator
• Relativistic point interaction
• Relativistic point interactions: Approximation by smooth potentials
• A new class of point interactions in one dimension
• Approximation of general zero-range potentials
• Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence.

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