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物理学报  1993 

THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL
无反射势的Schr?dinger方程严格解的三维推广

Keywords: 薛定谔方程,严格解,束缚态,散射态

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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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