Asymptotic Completeness for Compton Scattering
| dc.creator | Froehlich, J. | |
| dc.creator | Griesemer, M. | |
| dc.creator | Schlein, B. | |
| dc.date | 2001-11-17 | |
| dc.date | 2003-07-26 | |
| dc.date.accessioned | 2026-07-07T04:28:46Z | |
| dc.date.available | 2026-07-07T04:28:46Z | |
| dc.description | Scattering in a model of a massive quantum-mechanical particle, an ``electron'', interacting with massless, relativistic bosons, ``photons'', is studied. The interaction term in the Hamiltonian of our model describes emission and absorption of ``photons'' by the ``electron''; but ``electron-positron'' pair production is suppressed. An ultraviolet cutoff and an (arbitrarily small, but fixed) infrared cutoff are imposed on the interaction term. In a range of energies where the propagation speed of the dressed ``electron'' is strictly smaller than the speed of light, unitarity of the scattering matrix is proven, provided the coupling constant is small enough; (asymptotic completeness of Compton scattering). The proof combines a construction of dressed one--electron states with propagation estimates for the ``electron'' and the ``photons''. | |
| dc.description | gap of previous version closed, large parts rewritten, more general results and more comprehensive exposition. 64 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0111032 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0111032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56913 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81V10, 81U99 | |
| dc.title | Asymptotic Completeness for Compton Scattering | |
| dc.type | text |