Instabilities, nonhermiticity and exceptional points in the cranking model

Details Instabilities, nonhermiticity and exceptional points in the cranking model Instabilities, nonhermiticity and exceptional points in the cranking model

2007-09-26

arxiv.org/abs/0709.4105v1

J. Phys. A: Math.Theor. vol.40 (2007) 9475-9481

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1088/1751-8113/40/31/022

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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