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Delta-function contributions in the calculation of oscillator strengths for an electron in a coulomb potential

✍ Scribed by Aage E. Hansen; E. Nørby Svendsen

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
304 KB
Volume
5
Category
Article
ISSN
0009-2614

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✦ Synopsis

The operntor associated with the so-called "time derivative of the dipole acceleration" foorm;rlntloa of the oscillator strength has previously been found to be imalid for escitations to or from s-orbitats.

It is shown that the use of n cut-off Coutomb potential teads to contributions of delta functions znd deI-&-function derivatives in the operator. These contributions restore the hermitinn character of the operator with respect to s-orbitais, and this in turn Leads to the correct values of the dipole transition moments for excitations involving s-orbit&s.

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