A globally diagonalizable α2-dynamo operator, SUSY QM and the Dirac equation
A globally diagonalizable α2-dynamo operator, SUSY QM and the Dirac equation
Günther, U.; Samsonov, B.; Stefani, F.
A new class of semi-analytically solvable MHD α2-dynamos is found based on a global diagonalization of the matrix part of the dynamo differential operator. Close parallels to SUSY QM are used to relate these models to the Dirac equation and to extract non-numerical information about the dynamo spectrum.
Keywords: MHD dynamo; Krein space; operator theroy; supersymmetric Quantum Mechanics; Dirac equation; quasi-exactly solvable model; perturbation theory; Jordan structure
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Journal of Physics A 40(2007), F169-F176
DOI: 10.1088/1751-8113/40/5/F04
ISSN: 1751-8121
Cited 15 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-9011
