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Avoided level crossing and exceptional points

Heiss, W. D. and Sannino, A. L. (1990) Avoided level crossing and exceptional points. Journal of Physics A: Mathematical and General, 23 (7). pp. 1167-1178. ISSN 0305-4470. doi:10.1088/0305-4470/23/7/022.

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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.

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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.
Issue or Number:7
Record Number:CaltechAUTHORS:HEIjpa90
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10751
Deposited By: Archive Administrator
Deposited On:06 Jun 2008
Last Modified:08 Nov 2021 21:10

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