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In this section it is demonstrated how to calculate the reduced
operator,
using the subroutine RWLS (see in Section 3.2), which calculates
the reduced matrix elements (35). For that purpose the relation
(16.34) from Rudzikas [14] is used. While using the
and
tables, one must pay attention to various phase conventions used in the
literature.
In addition, small differences in the definitions of
occur.
Some authors, Karazija et al [20] among them, tabulate the
submatrix elements
 |
(47) |
others, like Nielson and Koster [18] or Cowan [9], tabulate
 |
(48) |
although they use the notation of (47). Meanwhile, the relation
between these two coefficients is:
 |
(49) |
The submatrix elements are defined as (47) if we use the
relations between matrix elements of
and
as presented in the
Rudzikas monograph [14].
Reduced matrix elements of the operator
are calculated in the
example.
The numerical value of this reduced matrix element
is taken from the Nielson and Koster [18] tables
and agree with our value.
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2001-12-07