Abstract
The hydrogen atom is factorized according to the scheme O(4,2)⊃O(2,1)×O(3) and the radial group O(2, 1) studied. It is shown that rkDn/(n+q), where Da is a dilatation operator, is proportional to a tensor operator in this scheme, allowing a group theoretical study of the radial matrix elements of rk, including an explanation of the Pasternack and Sternheimer selection rule.
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