A model of interband radiative transition

Jaroslav Dittrich, Pavel Exner, Masao Hirokawa

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)753-786
ページ数34
ジャーナルJournal of the Mathematical Society of Japan
56
3
DOI
出版ステータス出版済み - 2004
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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