S-matrix, resonances, and wave functions for transport through billiards with leads

DOI10.1063/1.531668zbMath0891.47049OpenAlexW2076544243WikidataQ59472006 ScholiaQ59472006MaRDI QIDQ5284718

Pavel Kurasov, Marek M. Kuś, Sergio A. Albeverio, Petr Šeba, Fritz Haake

Publication date: 12 July 1998

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

Full work available at URL: https://doi.org/10.1063/1.531668

zbMATH Keywords

strong coupling limitresonance structureresonator with a number of attached waveguidesstationary scattering matrixsuperposition of wavefunctionstypical GOE matrixweak-strong- and moderate-coupling case

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

• Zero-range potentials with internal structures and the inverse scattering problem
• Wave chaos in quantum systems with point interaction
• The theory of extensions and explicitly-soluble models