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A model of interband radiative transition
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SYSNO ASEP 0105575 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title A model of interband radiative transition Title Model mezipásového radiačního přechodu Author(s) Dittrich, Jaroslav (UJF-V) RID, ORCID, SAI
Exner, Pavel (UJF-V) RID, ORCID, SAI
Hirokawa, M. (JP)Source Title Journal of the Mathematical Society of Japan. - : Mathematical Society of Japan - ISSN 0025-5645
Roč. 56, č. 3 (2004), s. 753-786Number of pages 32 s. Language eng - English Country JP - Japan Keywords radiative transition ; two-band model Subject RIV BE - Theoretical Physics R&D Projects IAA1048101 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) ME 482 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z1048901 - UJF-V Annotation We 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2005
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