Generalized point interactions for the radial Schrodinger equation via unitary dilations

DOI10.1088/0305-4470/28/4/031zbMath0854.47039arXivhep-th/9412050OpenAlexW2012491465MaRDI QIDQ4889303

Christopher J. Fewster

Publication date: 22 January 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9412050

zbMATH Keywords

multiplication operatorunitary dilationsMøller wave operatorsinverse scattering constructionmomentum Pontryagin spacerational \(S\)-matricessingle centre \(S\)-wave GPI models

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Inverse scattering problems in quantum theory (81U40) (S)-matrix theory, etc. in quantum theory (81U20) Dilations, extensions, compressions of linear operators (47A20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Scattering theory of linear operators (47A40)

Related Items (4)

Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard ⋮ Effective field theory for two-body systems with shallow \(S\)-wave resonances ⋮ Scattering models for ultracold atoms ⋮ Nonperturbative regularization and renormalization: simple examples from nonrelativistic quantum mechanics

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