Instabilities, nonhermiticity and exceptional points in the cranking model

DOI10.1088/1751-8113/40/31/022zbMATH Open1120.81026arXiv0709.4105OpenAlexW2104256626MaRDI QIDQ5757607

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0709.4105

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26)

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