Isospectrality of spherical MHD dynamo operators: Pseudo-hermiticity and a no-go theorem

DOI10.1063/1.1573741zbMath1062.76060arXivmath-ph/0208012OpenAlexW3103477439WikidataQ61954568 ScholiaQ61954568MaRDI QIDQ4833052

Uwe Günther, Frank Stefani

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0208012

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Magnetohydrodynamics and electrohydrodynamics (76W05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (6)

Dynamic bifurcation for the granulation convection in the solar photosphere ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Inverse problems in magnetohydrodynamics: theoretical and experimental aspects ⋮ The duality between a non-Hermitian two-state quantum system and a massless charged particle ⋮ Third-order spectral branch points in Krein space related setups: $$\mathcal{P}\mathcal{T}$$ -symmetric matrix toy model, MHD α 2-dynamo and extended Squire equation ⋮ MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator

Cites Work

• Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev
• Must a Hamiltonian be Hermitian?
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