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无反射势的Schr?dinger方程严格解的三维推广
引用本文:周光辉,文根旺.无反射势的Schr?dinger方程严格解的三维推广[J].物理学报,1993,42(3):345-350.
作者姓名:周光辉  文根旺
作者单位:湖南师范大学物理系,长沙410081
摘    要: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。 关键词

关 键 词:薛定谔方程  严格解  束缚态  散射态
收稿时间:4/9/1992 12:00:00 AM

THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL
ZHOU GUANG-HUI and WEN GEN-WANG.THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL[J].Acta Physica Sinica,1993,42(3):345-350.
Authors:ZHOU GUANG-HUI and WEN GEN-WANG
Abstract: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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