✦ LIBER ✦
Absence of eigenvalues of Dirac operators with potentials diverging at in-finity
✍ Scribed by Hubert Kalf; Takashi Ōkaji; Osanobu Yamada
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 239 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We investigate the non‐existence of eigenvalues of Dirac operators α · p +m(r)β + V(x) in the Hilbert space L^2^(R^3^)^4^ with a variable mass__m__(r) and a matrix‐valued function V(x), which may decay or diverge at infinity. As a result we show that there are no eigenvalues of Dirac operators for a large class of m(r) and V(x) such that |m(r)| ≪ |V(x)| →∞ as r → ∞ and V(x) is positive or negative definite at infinity. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)