【摘要】 本文根据莱格理论,研究势散射在复变量平面上的表示.计算出指数势散射情况下,散射振幅(?)(λ,k,z)的表示,结果表明该振幅对k说来,具有全纯性:在Reλ>0的半平面中具有解析性.此外,还讨论与散射有关的约斯特函数的全纯性和解析性;同时计算出散射矩阵S(λ,k)的确切表示,并对其性质作了探讨.更多还原

【Abstract】 According to Regge theory, potential scattering representation in complex variable plane are cosidered in this paper. The representation of scattering amplitude (λ, k,z) in exponential potential is calculated. The results show that it is simple wholly with respect to k, and is analytic in the Reλ>0 semi-plane.Besides this,discussion about simplicity and analyticity of Jost function is considered which is connected with scatterering. At the same time, the obvious expression about scattering matrix S(λ,k) is calculated. Its properties are discussed also.更多还原