Published April 7, 1990
| public
Journal Article
Open
Avoided level crossing and exceptional points
- Creators
- Heiss, W. D.
- Sannino, A. L.
Abstract
The connection between level repulsions and the singularities associated with the analytically continued energy levels is investigated. The authors also conjecture that there are necessarily specific consequences for the state vectors when the statistical analysis of the energy spectrum indicates quantum chaos. A procedure which allows a qualitative assessment of the positions of the exceptional points is suggested. The importance of their distribution for quantum chaos is discussed within this context.
Additional Information
Copyright © Institute of Physics and IOP Publishing Limited 1990. Received 13 June 1989, in final form 19 September 1989. One of us (WDH) gratefully acknowledges useful discussions with the organisers and other participants at the workshop on 'Dynamic Properties of Small Quantum Systems' held at Santa Barbara during the first half of 1989 and organised by MC Gutzwiller and EJ Heller. This work was supported in part by the National Science Foundation (US) grant no PHY86-04197 and PHY88-17296.Files
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Additional details
- Eprint ID
- 10751
- Resolver ID
- CaltechAUTHORS:HEIjpa90
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2008-06-06Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field