MHD Dynamo-Operatoren

The spherical MHD mean-field dynamo is considered from a mathematical
viewpoint. It is shown that the corresponding 2x2 operator matrix lives in a Krein
space (a Hilbert space with indefinite metric) and has paired complex
eigenvalues.
A no-go theorem is discussed which forbids isospectral classes of dynamo
operators for a linear factorization ansatz in a supersymmetric intertwining
approach.
A detailed compatibility analysis is presented for the associated matrix
Riccati differential equations.