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Asymptotics of eigenvalues of the Schrödinger operator with a strong δ-interaction on a loop

✍ Scribed by Pavel Exner; Kazushi Yoshitomi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
117 KB
Volume
41
Category
Article
ISSN
0393-0440

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✦ Synopsis

In this paper we investigate the operator

We obtain the asymptotic form of each eigenvalue of H β as β tends to infinity. We also get the asymptotic form of the number of negative eigenvalues of H β in the strong coupling asymptotic regime.

📜 SIMILAR VOLUMES

A Schrödinger operator with a δ′-interac
A Schrödinger operator with a δ′-interaction on a Cantor set and Krein–Feller operators
✍ Sergio Albeverio; Leonid Nizhnik 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

## Abstract A construction of a one‐dimensional Schrödinger operator that has an inner structure defined on a set of Lebesgue measure zero and an interaction given on such a set. General Krein–Feller operators are constructed and the spectrum of a Schrödinger operator with a __δ__′‐interaction give