A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation

preprint2006arXivOpen access

Abstract

A new class of semi-analytically solvable MHD alpha^2-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.

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