A model of interband radiative transition
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- DITTRICH Jaroslav
- Department of Theoretical Physics Nuclear Physics Institute Academy of Sciences Doppler Institute Czech Technical University
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- EXNER Pavel
- Department of Theoretical Physics Nuclear Physics Institute Academy of Sciences Doppler Institute Czech Technical University
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- HIROKAWA Masao
- Department of Mathematics, Faculty of Science Okayama University
Bibliographic Information
- Other Title
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- model of interband radiative transition
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Abstract
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 56 (3), 753-786, 2004
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680091870464
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- NII Article ID
- 10013358927
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2071672
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- NDL BIB ID
- 7015155
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed