A method previously developed for the calculation of matrix components for problems in which spin degeneracy only is important is shown to be equivalent to an operator method derivable from the vector approach of Dirac. Complete rules for the simple construction of matrices for all possible cases which can arise under these conditions of spin degeneracy are given. An especially simple way of determining secular equations for states of the identical representation is described, and the method is applied to the calculation of the energy of an infinite linear extension of sodium atoms. An inspection method of resolving a crossed six bond eigenfunction in terms of the uncrossed set is given.
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