Time Evolution of Quantum Resonance States

dc.contributor.authorKlein, Markus
dc.contributor.authorRama, Juliane
dc.contributor.authorWüst, Rainer
dc.date.accessioned2021-12-17T10:06:30Z
dc.date.available2021-12-17T10:06:30Z
dc.date.issued2005-08-22
dc.description.abstractLet $H_0$ 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.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15563
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14336
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherresonance stateen
dc.subject.otherembedded eigenvalueen
dc.subject.otherquantum resonanceen
dc.subject.othertime evolutionen
dc.subject.othereigenvalueen
dc.titleTime Evolution of Quantum Resonance Statesen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2005, 17en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200047A40 Scattering theoryen
tub.subject.msc200081U99 None of the above, but in this sectionen
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