Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem

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dc.creatorGuenther, U.
dc.creatorStefani, F.
dc.date2002-08-07
dc.date2003-03-18
dc.date.accessioned2026-07-07T04:29:21Z
dc.date.available2026-07-07T04:29:21Z
dc.descriptionThe isospectrality problem is studied for the operator of the spherical hydromagnetic alpha^2-dynamo. It is shown that this operator is formally pseudo-Hermitian (J-symmetric) and lives in a Krein space. Based on the J-symmetry, an operator intertwining Ansatz with first-order differential intertwining operators is tested for its compatibility with the structure of the alpha^2-dynamo operator matrix. An intrinsic structural inconsistency is obtained in the set of associated matrix Riccati equations. This inconsistency is interpreted as a no-go theorem which forbids the construction of isospectral alpha^2-dynamo operator classes with the help of first-order differential intertwining operators.
dc.description13 pages, LaTeX2e, improved references, to appear in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0208012
dc.identifierhttp://arxiv.org/abs/math-ph/0208012
dc.identifierJ. Math. Phys. 44 (2003) 3097-3111
dc.identifierdoi:10.1063/1.1573741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57122
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.titleIsospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
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