2002/08/31 by U. Guenther, Uwe Günther, F. Stefani +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Geomagnetism and Paleomagnetism Studies #Spectral Theory in Mathematical Physics #astro-ph #math-ph #math.MP
paper · pdf · doi:10.1063/1.1573741
published as J. Math. Phys. 44 (2003) 3097-3111 · 13 pages, LaTeX2e, improved references, to appear in J. Math. Phys
arxiv created 2003/03/18 · openalex publication_date 2003/06/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The isospectrality problem is studied for the operator of the spherical hydromagnetic α2-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 α2-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 α2-dynamo operator classes with the help of first-order differential intertwining operators.