A model of interband radiative transitions

Simple item page
dc.creatorDittrich, J.
dc.creatorExner, P.
dc.creatorHirokawa, M.
dc.date2000-11-07
dc.date.accessioned2026-07-07T09:20:19Z
dc.date.available2026-07-07T09:20:19Z
dc.descriptionWe consider a simple model which is a caricature of a crystal interacting with a radiation field. The model has two bands of continuous spectrum and the particle can pass from the upper one to the lower by radiating a photon, the coupling between the excited and deexcited states being of a Friedrichs type. Under suitable regularity and analyticity assumptions we find the continued resolvent and show that for weak enough coupling it has a curve-type singularity in the lower halfplane which is a deformation of the upper-band spectral cut. We then find a formula for the decay amplitude and show that for a fixed energy it is approximately exponential at intermediate times, while the tail has a power-like behaviour.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0011009
dc.identifierhttp://arxiv.org/abs/math-ph/0011009
dc.identifierJ. Math. Soc. Japan 56 (2004), 753-786.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154683
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectDynamical Systems
dc.subjectQuantum Physics
dc.subject81Q05
dc.titleA model of interband radiative transitions
dc.typetext

Files

Collections

arXiv