2004/07/31 by U. Guenther, Uwe Günther, F. Stefani +3 · 1 citation
Mathematics · Physics and Astronomy · #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #astro-ph #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1023/b:cjop.0000044008.43362.71
published as Czech.J.Phys. 54 (2004) 1075-1089 · 14 pages, 5 figures, Conf. Proc., 2nd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16 2004; minor cosmetic improvements, Ref. added
openalex publication_date 2004/10/01 · arxiv created 2004/10/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The spectral branching behavior of the 2x2 operator matrix of the magneto-hydrodynamic alpha2-dynamo is analyzed numerically. Some qualitative aspects of level crossings are briefly discussed with the help of a simple toy model which is based on a Z2-graded-pseudo-Hermitian 2x2 matrix. The considered issues comprise: the underlying SU(1,1) symmetry and the Krein space structure of the system, exceptional points of branching type and diabolic points, as well as the algebraic and geometric multiplicity of corresponding degenerate eigenvalues.