Resonances for 1D massless Dirac operators
نویسندگان
چکیده
منابع مشابه
Resonances for 1d Massless Dirac Operators
We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the forbidden domain, 3) the trace formula in terms of re...
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Asymptotic behaviors of zero modes of the massless Dirac operator H = α ·D+Q(x) are discussed, where α = (α1, α2, α3) is the triple of 4×4 Dirac matrices, D = 1i ∇x, and Q(x) = ( qjk(x) ) is a 4×4 Hermitian matrix-valued function with |qjk(x)| ≤ C〈x〉 −ρ, ρ > 1. We shall show that for every zero mode f , the asymptotic limit of |x|f(x) as |x| → +∞ exists. The limit is expressed in terms of an in...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2014
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.01.031