On a statistical theory of overlapping resonances

The statistics of unstable N-level quantum systems is considered. The distribution function for complex energies and the density of overlapping resonances are obtained. It is shown that the instability removes the level repulsion at energy differences less than the width whereas the complex energies...

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Bibliographic Details
Published in:Physics letters. B 1988-02, Vol.202 (1), p.10-14
Main Authors: Sokolov, V.V., Zelevinsky, V.G.
Format: Article
Language:English
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Summary:The statistics of unstable N-level quantum systems is considered. The distribution function for complex energies and the density of overlapping resonances are obtained. It is shown that the instability removes the level repulsion at energy differences less than the width whereas the complex energies repulse quadratically. In the case of strong level—channel-coupling, k “collective” states ( k is the number of channels) are formed, absorbing the total width.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(88)90844-1