任意维l态Woods-Saxon势的精确解

在D维空间下使用完全量子化规则计算了具有离心项的Woods-Saxon势，根据动量积分 (其中 )和Pekeris近似化条件，得到了系统的任意l波Schrödinger方程的解和能谱方程．讨论了束缚态能谱的有关性质．

Any l-state exact solutions of the Woods-Saxon potential in arbitrary dimensions within the proper quantization rule

The energy spectra of the Woods-Saxon potential with centrifuge term in D dimensions are obtained within the proper quantization rule approach for any states. The proper quantization rule express , where . The and are two turning points determined by , and the n is the number of modes of the wave function . The energy spectra of Woods-Saxon potential can be determined from its ground state energy only.