THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL

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THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL

Citation:

ZHOU GUANG-HUI, WEN GEN-WANG

Acta Phys. Sin., 1993, 42(3): 345-350.

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.
Authors and contacts
ZHOU GUANG-HUI,

WEN GEN-WANG

1.
湖南师范大学物理系,长沙410081
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