Resonances and the extension of dynamics to rigged Hilbert spaces

DOI10.1016/S0898-1221(97)00148-XzbMath0897.47012OpenAlexW2073738316MaRDI QIDQ1381870

Ioannis E. Antoniou, L. A. Dmitrieva, Yu. A. Kuperin, Yu. B. Mel'nikov

Publication date: 13 July 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00148-x

zbMATH Keywords

rigged Hilbert spacegeneralized spectral decompositionextended resolventresonance states

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Applications of operator theory in numerical analysis (47N40)

Related Items (12)

Gamow vectors for degenerate scattering resonances ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Koopman analysis of nonlinear systems with a neural network representation ⋮ Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems ⋮ New extended spectral decompositions of the Renyi map ⋮ Time-reversal, irreversibility and arrow of time in quantum mechanics ⋮ Extended spectral decompositions of the Rényi map ⋮ Relativistic Gamow vectors ⋮ A discussion on the properties of Gamow states ⋮ Non-factorizable extensions of the Liouville operator: the Friedrichs model ⋮ The connection between the rigged Hilbert space and the complex scaling approaches for resonances. The Friedrichs model ⋮ Examples of Gamow vectors

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