Exceptional points in quantum and classical dynamics

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dc.creatorSmilga, A. V.
dc.date2008-08-05
dc.date2009-01-08
dc.date.accessioned2026-07-07T12:38:43Z
dc.date.available2026-07-07T12:38:43Z
dc.descriptionWe notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p^2+z^2)/2 -igz^5 and hyper-ellictic classical dynamics is studied in details. Analogies with supersymmetric Yang-Mills dynamics are elucidated.
dc.descriptionReferences added. Final version to be published in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0808.0575
dc.identifierhttp://arxiv.org/abs/0808.0575
dc.identifierJ.Phys.A42:095301,2009
dc.identifierdoi:10.1088/1751-8113/42/9/095301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218858
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleExceptional points in quantum and classical dynamics
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