A model of interband radiative transition
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概要
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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.
- 社団法人 日本数学会の論文
- 2004-07-01
著者
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Exner Pavel
Department Of Theoretical Physics Nuclear Physics Institute Academy Of Sciences
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広川 真男
岡山大学自然科学研究科
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DITTRICH Jaroslav
Department of Theoretical Physics Nuclear Physics Institute Academy of Sciences
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HIROKAWA Masao
Department of Mathematics, Faculty of Science Okayama University
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Hirokawa Masao
Department Of Mathematics Okayama University
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