Spectral analysis of dissipative Schrödinger operators

DOI10.1017/S0308210500026962zbMath0901.47001MaRDI QIDQ4374786

Ahmet Canoğlu, Bilender P. Allahverdiev

Publication date: 2 December 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

scattering matrixfunctional modelselfadjoint dilationdefect indexdissipative Schrödinger operatorsextensions of symmetric operatorscompleteness of the system of eigenfunctionsincoming and outgoing spectral representations

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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