Green function and resolvent operator of a Schrödinger equation with general point interaction

In this paper, we investigate the time independent Schrödinger equation which has complex valued potential function under the general point interaction. We construct Green function of this problem and we …nd the resolvent of the problem in terms of Green function.

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Bibliographic Details
Published inCommunications Series A1 Mathematics & Statistics Vol. 69; no. 1; pp. 441 - 449
Main Author YILDIRIM, Emel
Format Journal Article
LanguageEnglish
Published Ankara Üniversitesi Fen Fakültesi 01.01.2020
Subjects
Matematik
Ankara
Türkiye
point interaction
Green function
Schrödinger operators
resolvent operator
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Summary:In this paper, we investigate the time independent Schrödinger equation which has complex valued potential function under the general point interaction. We construct Green function of this problem and we …nd the resolvent of the problem in terms of Green function.
ISSN:1303-5991
DOI:10.31801/cfsuasmas.585800