Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation

Simple item page
dc.creatorGuenther, Uwe
dc.creatorStefani, Frank
dc.date2005-06-09
dc.date.accessioned2026-07-07T06:22:37Z
dc.date.available2026-07-07T06:22:37Z
dc.descriptionThe spectra of self-adjoint operators in Krein spaces are known to possess real sectors as well as sectors of pair-wise complex conjugate eigenvalues. Transitions from one spectral sector to the other are a rather generic feature and they usually occur at exceptional points of square root branching type. For certain parameter configurations two or more such exceptional points may happen to coalesce and to form a higher order branch point. We study the coalescence of two square root branch points semi-analytically for a PT-symmetric 4x4 matrix toy model and illustrate numerically its occurrence in the spectrum of the 2x2 operator matrix of the magnetohydrodynamic alpha^2-dynamo and of an extended version of the hydrodynamic Squire equation.
dc.description8 pages, 3 figures, Conf. Proc., 3rd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Istanbul, Turkey, June 20-22, 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0506021
dc.identifierhttp://arxiv.org/abs/math-ph/0506021
dc.identifierCzech.J.Phys. 55 (2005) 1099-1106
dc.identifierdoi:10.1007/s10582-005-0113-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95961
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectQuantum Physics
dc.titleThird order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation
dc.typetext

Files

Collections

arXiv