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文献[1]给出无反射势V(x)=-N(N+1)sech2x当N为任意正整数时Schr?dinger方程束缚态和散射态的严格解。本文推广文献[1]的工作,继续给出三维情况下无反射势Schr?dinger方程束缚态和散射态的严格解,并得到了与一维情况不同的一些物理结果。In the reference [1] , we have given the exact solutions of both bound and scattering sfa-tes for one dimensional Schr?dmger equation with potential V(x)=-N(N +1l)sech2x in the case of arbitrary positive integer N. In the present work we extend the results of [1] to three dimensional case, and find some physical significance which is different from that in one di-mensional case.
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