The zero modes and zero resonances of massless Dirac operators
The zero modes and zero resonances of massless Dirac operators
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DOI：
10.14492/hokmj/1253539560
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发表时间：
2006-12
影响因子：
0.5
通讯作者：
Yoshimi Saito;T. Umeda
中科院分区：
文献类型：
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作者：
Yoshimi Saito;T. Umeda
讨论了狄拉克算子H=α，D+Q(X)的零模和零共振，其中α=(α1，α2，α3)是4 GB 4狄拉克矩阵的三重阵，D=(1/i)Rx，Q(X)=`qjk(X)是一个4 GB 4厄米特矩阵值函数，其中jqjk(X)jChxiiρ，ρ>；1.我们将证明每个零模f(X)在R3上是连续的，且以jxj i2的衰减率无限衰减.此外，我们还将证明，如果ρ；3/2，则H没有零共振。
The zero modes and 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)rx, and Q(x) = ` qjk(x) ´ is a 4£ 4 Hermitian matrix-valued function with jqjk(x)jChxiiρ, ρ > 1. We shall show that every zero mode f (x) is continuous on R 3 and decays at infinity with the decay rate jxj i2 . Also, we shall show that H has no zero resonance if ρ > 3/2.