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Dipole transition matrix elements for certain classes of potential models
Authors:Martin  A.  Stubbe  J.
Affiliation:1.Theoretical Physics Division, CERN, CH-1211, Geneva 23, Switzerland
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Abstract:We prove results about vanishing and nonvanishing of radial dipole matrix elements
$$D_{n,l}^{n',l'}  = leftlangle {n',l|r|n,l} rightrangle $$
for certain classes of spherically symmetric potentials. A basic tool is a new sum rule based on Ehrenfest's law and the superposition principle for solutions of the Schrödinger equation.
Keywords:
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