English

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

Mathematical Physics 2011-07-19 v1 Astrophysics math.MP Quantum Physics

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.

Keywords

Cite

@article{arxiv.math-ph/0611036,
  title  = {A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation},
  author = {Uwe Guenther and Boris F. Samsonov and Frank Stefani},
  journal= {arXiv preprint arXiv:math-ph/0611036},
  year   = {2011}
}

Comments

9 pages, 3 figures