@article{Günther_Kirillov_Samsonov_Stefani_2007, place={Prague, Czech Republic}, title={The Spherically Symmetric a2–dynamo and Some of its Spectral Peculiarities}, volume={47}, url={https://ojs.cvut.cz/ojs/index.php/ap/article/view/946}, DOI={10.14311/946}, abstractNote={A brief overview is given of recent results on the spectral properties of spherically symmetric MHD α2-dynamos. In particular, the spectra of sphere-confined fluid or plasma configurations with physically realistic boundary conditions (BCs) (surrounding vacuum) and with idealized BCs (super-conducting surrounding) are discussed. The subjects comprise third-order branch points of the spectrum, self-adjointness of the dynamo operator in a Krein space as well as the resonant unfolding of diabolical points. It is sketched how certain classes of dynamos with a strongly localized α-profile embedded in a conducting surrounding can be mode decoupled by a diagonalization of
the dynamo operator matrix. A mapping of the dynamo eigenvalue problem to that of a quantum mechanical Hamiltonian with energy dependent potential is used to obtain qualitative information about the spectral behavior. Links to supersymmetric Quantum Mechanics and to the Dirac equation are indicated.}, number={2-3}, journal={Acta Polytechnica}, author={Günther, U. and Kirillov, O. N. and Samsonov, B. F. and Stefani, F.}, year={2007}, month={Jan.} }