Ionization and Scattering for Short-Lived Potentials
dc.contributor.author | Soffer, A. | en_US |
dc.contributor.author | Weinstein, Michael I. | en_US |
dc.date.accessioned | 2006-09-08T21:11:32Z | |
dc.date.available | 2006-09-08T21:11:32Z | |
dc.date.issued | 1999-06 | en_US |
dc.identifier.citation | Soffer, A.; Weinstein, M. I.; (1999). "Ionization and Scattering for Short-Lived Potentials." Letters in Mathematical Physics 48(4): 339-352. <http://hdl.handle.net/2027.42/43212> | en_US |
dc.identifier.issn | 0377-9017 | en_US |
dc.identifier.issn | 1573-0530 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43212 | |
dc.description.abstract | We consider perturbations of a model quantum system consisting of a single bound state and continuum radiation modes. In many problems involving the interaction of matter and radiation, one is interested in the effect of time-dependent perturbations. A time-dependent perturbation will couple the bound and continuum modes causing ‘radiative transitions’. Using techniques of time-dependent resonance theory, developed in earlier work on resonances in linear and nonlinear Hamiltonian dispersive systems, we develop the scattering theory of short-lived ( (t −1−ε )) spatially localized perturbations. For weak pertubations, we compute (to second order) the ionization probability, the probability of transition from the bound state to the continuum states. These results can also be interpreted as a calculation, in the paraxial approximation, of the energy loss resulting from wave propagation in a waveguide in the presence of a localized defect. | en_US |
dc.format.extent | 151367 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Springer Science+Business Media | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Group Theory and Generalizations | en_US |
dc.subject.other | Geometry | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Perturbation | en_US |
dc.subject.other | Time-dependent Resonance Theory | en_US |
dc.subject.other | Scattering Theory | en_US |
dc.title | Ionization and Scattering for Short-Lived Potentials | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Mathematical Sciences Research, Bell Laboratories – Lucent Technologies, and Department of Mathematics, University of Michigan, Ann Arbor, MI, U.S.A | en_US |
dc.contributor.affiliationother | Department of Mathematics, Rutgers University, New Brunswick, NJ, U.S.A | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43212/1/11005_2004_Article_235656.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1007695606961 | en_US |
dc.identifier.source | Letters in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.