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Other matrix elements

Results are quoted below for other simple choices of $\hat{O}$ . They are believed to be new results. They arise without effort from the matrix trick of the previous section.

Subsections

Momentum matrix elements: $\hat{O} = \nabla$
Dipole matrix elements: $\hat{O} = {\mathbf r}$
Differential dilation matrix elements: $\hat{O} = {\mathbf r} \cdot \nabla$

Alex Barnett 2001-10-03