منابع مشابه
The Zero Modes and the Zero Resonances of Dirac Operators
The zero modes and the zero resonances of the Dirac operator H = α · D + Q(x) are discussed, where α = (α1, α2, α3) is the triple of 4× 4 Dirac matrices, D = 1 i ∇x, and Q(x) = ` qjk(x) ́ is a 4× 4 Hermitian matrix-valued function with |qjk(x)| ≤ C〈x〉, ρ > 1. We shall show that every zero mode f(x) is continuous on R and decays at infinity with the decay rate |x| if 1 < ρ < 3, |x| log |x| if ρ =...
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متن کاملThe Asymptotic Limits of Zero Modes of Massless Dirac Operators
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: Physical Review D
سال: 2011
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.84.014509