Exceptional and diabolical points in stability questions

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Abstract

“I never satisfy myself until I can make a mechanical model of a thing” – guided by this motto of Lord Kelvin we would like to invite a reader to look at some modern concepts such as a non-Hermitian Hamiltonian, exceptional points, the geometric phase, and PT-symmetry, through the prism of the classical mechanics and stability theory. Mathematical and historical parallels discussed in the paper evidence that positions occupied by the non-Hermitian physics and non-conservative mechanics are closer to each other than one might expect.
Original languageEnglish
Pages (from-to)205-224
JournalFortschritte der Physik
Volume61
Issue number2-3
DOIs
Publication statusPublished - 12 Jun 2012

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