Absolutely continuous spectrum of Dirac operators for long-range potentials
نویسندگان
چکیده
منابع مشابه
Absolutely Continuous Spectrum of Dirac Operators with Square Integrable Potentials
We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac operator on a half-line with a constant mass term and a real, square-integrable potential is strictly increasing throughout the essential spectrum (−∞,−1] ∪ [1,∞). The proof is based on estimates for the transmission coefficient for the full-line scattering problem with a truncated potential and a ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1988
ISSN: 0022-1236
DOI: 10.1016/0022-1236(88)90049-3