GENERALIZED EIGENVECTORS FOR RESONANCES IN THE FRIEDRICHS MODEL AND THEIR ASSOCIATED GAMOV VECTORS

DOI10.1142/S0129055X06002589zbMath1139.81057arXivmath-ph/0509062MaRDI QIDQ5385646

Hellmut Baumgärtel

Publication date: 6 May 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0509062

zbMATH Keywords

scattering theoryresonancesFriedrichs modelgeneralized eigenvectorsGamov vectors

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Cites Work

• Irreversibility and causality. Semigroups and rigged Hilbert spaces. A selection of articles presented at the 21st international colloquium on group theoretical methods in physics (ICGTMP) at Goslar, Germany, July 16--21, 1996. Dedicated to Günther Ludwig on the occasion of his 80th birthday
• Resonances in the rigged Hilbert space and Lax-Phillips scattering theory
• Resonanzen und GELFANDsche Raumtripel
• Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals
• Eine Bemerkung zur Theorie der Wellenoperatoren

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