Scattering from generalized point interactions using self-adjoint extensions in Pontryagin spaces

DOI10.1063/1.529404zbMath0748.47006OpenAlexW2028387055MaRDI QIDQ3981621

A. Tip, Jan Felipe van Diejen

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529404

zbMATH Keywords

Pontryagin spacepseudopotentialsGeneralized point interactionsquantum mechanical and electromagnetic multiple scatteringQuantum mechanical scatteringtwo-space settingunitary \(S\)-operator

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20) Scattering theory of linear operators (47A40) Linear operators on spaces with an indefinite metric (47B50)

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Cites Work

• Quantum-mechanical models in \(R_ n\) associated with extensions of the energy operator in a Pontryagin space
• LINEAR OPERATORS IN HILBERT SPACES WITHG-METRIC
• Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction

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