PT-Symmetric Models in Curved Manifolds
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  The collision of two real eigenavalues (balls) results in the creation of complex conjugated pair of eigenvalues. The restoration of two real eigenvalues from the complex conjugated pair follows and the next collision produces another complex conjugated pair. The coupling parametr plays the role of "time".
 
The details can be found in arXiv:1001.2988 by D. Krejčiřík and P. Siegl.