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Main Title: Time Evolution of Quantum Resonance States
Author(s): Klein, Markus
Rama, Juliane
Wüst, Rainer
Type: Research Paper
Abstract: Let $H_0$ be self-adjoint with $E_0$ a possibly degenerate eigenvalue in the continuous spectrum $\sigma_c(H_0)$ and and $\psi_0$ a normalized eigenfunction. For a certain class of perturbations $W$ and $H=H_0+W$ we investigate the asymptotics of the (naive) resonance state $e^{-itH}\psi_0$ in the limit $W \to 0$. This amplifies previous results of Merkli and Sigal.
Subject(s): resonance state
embedded eigenvalue
quantum resonance
time evolution
Issue Date: 22-Aug-2005
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 47A40 Scattering theory
81U99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2005, 17
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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