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Abstract. The connection between level repulsions and the singularities associated with the analytically continued energy levels is investigated. We 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. 1.
Heiss et al. (1990) studied this question.