Instabilities, nonhermiticity and exceptional points in the cranking model

Date
2007
Authors
Heiss W.D.
Nazmitdinov R.G.
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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 -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. © 2007 IOP Publishing Ltd.
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Journal of Physics A: Mathematical and Theoretical
40
31