Time Evolution of Quantum Resonance States
| dc.contributor.author | Klein, Markus | |
| dc.contributor.author | Rama, Juliane | |
| dc.contributor.author | Wüst, Rainer | |
| dc.date.accessioned | 2021-12-17T10:06:30Z | |
| dc.date.available | 2021-12-17T10:06:30Z | |
| dc.date.issued | 2005-08-22 | |
| dc.description.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. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15563 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14336 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | resonance state | en |
| dc.subject.other | embedded eigenvalue | en |
| dc.subject.other | quantum resonance | en |
| dc.subject.other | time evolution | en |
| dc.subject.other | eigenvalue | en |
| dc.title | Time Evolution of Quantum Resonance States | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2005, 17 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 47A40 Scattering theory | en |
| tub.subject.msc2000 | 81U99 None of the above, but in this section | en |