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American Journal of Physics
Article . 1965 . Peer-reviewed
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https://dx.doi.org/10.1119/1.1...
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Asymptotic Behavior of Scattered Waves

Asymptotic behavior of scattered waves
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1965 English Publisher:American Association of Physics Teachers (AAPT)Journal:American Journal of Physics, volume 33, pages 552-556 (issn: 0002-9505, eissn: 1943-2909, Copyright policy )
Authors: Roskies, R.;

doi: 10.1119/1.1971908

Asymptotic Behavior of Scattered Waves

Abstract

The relation between the Fourier transform of a scattered wave and its asymptotic behavior at large distances from the scatterer is derived rigorously, and generalized to spaces of arbitrary dimension. Using this result, a simple derivation of the partial-wave expansion is given. Also a concise representation for the Laplacian on a sphere in n dimensions is obtained.

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quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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