English

Instabilities, nonhermiticity and exceptional points in the cranking model

Quantum Physics 2007-09-27 v1

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.

Keywords

Cite

@article{arxiv.0709.4105,
  title  = {Instabilities, nonhermiticity and exceptional points in the cranking model},
  author = {W. D. Heiss and R. G. Nazmitdinov},
  journal= {arXiv preprint arXiv:0709.4105},
  year   = {2007}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T09:22:04.484Z