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当位势V(z)在原点有高于二阶的极点时(在右半平面V(z)解析,当z→∞时z2V→0),证明了(1)S矩阵元为λ(λ=ι+1/2,ι是角动量)的半纯函数;(2)当λ在右半平面|argλ| <π 2内趋于无穷大时,|s-1|≤c((log|λ|) |λ|)。< div>Assuming that: (l), the potential V(z)→z-n(n>2) as z→0; (2), V is regular in Re z>0; (3), V(z)z2→0 as z→∞ in |arg z| <π 2, the following assertions are proved: (l), scattering matrix element s is meromorphic in whole λ plane (λ="l+1/2,l—angular" momentum);(2)s-1→o((log|λ|) |λ|) as λ→∞ |arg λ|<π 2.< div>
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