Unavoided crossings of the energy levels due to a variation of a real parameter are studied. It is found that after the quantum system in question passes through one of its energy-crossing points alias Kato’s exceptional points (EP), its physical interpretation may dramatically change even when the crossing energies themselves do not complexify. The anomalous physical phase-transition mechanism of the change is revealed, attributed to the EP-related mathematics and illustrated via several exactly solvable matrix toy models.
CITATION STYLE
Borisov, D. I., & Znojil, M. (2016). Mathematical and physical meaning of the crossings of energy levels in P T -symmetric systems. In Springer Proceedings in Physics (Vol. 184, pp. 201–218). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-31356-6_13
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