Scattering matrix, phase shift, spectral shift and trace formula for one-dimensional dissipative Schrödinger-type operators

DOI10.1007/S00020-007-1487-ZzbMath1172.47010OpenAlexW2066530520MaRDI QIDQ2470878

Joachim Rehberg, Hagen Neidhardt

Publication date: 15 February 2008

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-007-1487-z

zbMATH Keywords

characteristic functionSturm-Liouville operatorsscattering matrixtrace formulaphase shiftBirman-Krein formulaselfadjoint dilationLax-Phillips scattering theoryspectral shiftdissipative Schrödinger-type operators

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)

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