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arXiv · 0709.4105

Instabilities, nonhermiticity and exceptional points in the cranking model

W. D. Heiss·R. G. Nazmitdinov
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Abstract

A cranking harmonic oscillator model, widely used for the physics of fast rotating nuclei and Bose-Einstein condensates, is re-investigated in the context of PT-symmetry. The instability points of the model are identified as exceptional points. It is argued that - even though the Hamiltonian appears hermitian at first glance - it actually is not hermitian within the region of instability.

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W. D. Heiss, R. G. Nazmitdinov. 2007-09-26. Instabilities, nonhermiticity and exceptional points in the cranking model. https://doi.org/10.1088/1751-8113/40/31/022

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