It is shown that the qualitative arguments given up to now in the literature, are not enough to justify the applications of Random Matrix Theory to the small metallic particle problem. Using a two-dimensional model we show that the spacing distributions approach Poisson's law, as originally assumed
The essential spectrum of a model problem in 2-dimensional magnetohydrodynamics: a proof of a conjecture by J. Descloux and G. Geymonat
✍ Scribed by M. Faierman; R. Mennicken; M. Möller
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 254 KB
- Volume
- 269-270
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
Descloux and Geymonat considered a model problem for plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly given band structure. Here we prove this conjecture by employing an operator matrix representation of the problem. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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