计算j^n组态总角动量J允许值的递推方法

A Recurrence Method for Calculating the Permitted J Terms of j^n Configuration

计算j^n组态总角动量J的允许值通常采用列举法,对j,n大的组态计算十分繁琐。本文提出计算j^n组态J的允许值的递推方法,使计算大为简化。在VAX-11/730机上完成J=1/2～15/2分类的CPU时间,用本文方法为3秒,用列举法[1]为1分50秒。列出了j=1/2～15/2分类结果,并发现文献[2]表6有三处差错。

The enumeration method is usually used to calculate the permitted J termsof j^n configuration, but it becomes too complex to be used when the values ofj, n become large enough. In this paper, a recurrence method instead of theconventional one is suggsted, thus greatly simplifying the calculation. Forexample, using this method it takes only 3 seconds of CPU time of the VAX-11/730 Computer to finish the classification of j=1/2~15/2, Whereas about290 seconds arc needed if the enumeration method is used. The classificationresults of j=1/2~15/2 have been listed in a table, and it is pointed out thatthere are 3 errors in the table of res. [2].