Transition Matrix Elements for Large Momentum or Energy Transfer

Document Type

Article

Publication Date

12-1-1967

Abstract

The radial matrix element M=0 Rkl′(r)jL(qr)Rnl(r)r2dr, which appears in collision theory and photon absorption (L=1, q∼0), has been studied in the past for hydrogenic wave functions. Its behavior for large q or large k is now shown to depend only on the expansion of the wave functions near the nucleus and on an application of selection rules. For large q, the trend is Mq-(l+l′+4) and for large k and normalization per unit energy, M

Publication Source (Journal or Book title)

Physical Review

First Page

68

Last Page

70

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