Dirac delta functions in the laplace-type expansion of rny lm(δ,Φ)

Kenneth G. Kay; H. David Todd; Harris J. Silverstone

doi:10.1063/1.1672352

Dirac delta functions in the laplace-type expansion of rⁿy _lm(δ,Φ)

Kenneth G. Kay, H. David Todd, Harris J. Silverstone

Johns Hopkins University

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

The theory of generalized functions and Fourier transforms is used to derive the Laplace-type expansion for r₁₂ⁿY ^lm(δ₁₂, Φ₁₂). This approach leads naturally to a general formula for the Dirac delta-function terms which occur when n≤ -3 and n-l is odd.

Original language	English
Pages (from-to)	2359-2362
Number of pages	4
Journal	Journal of Chemical Physics
Volume	51
Issue number	6
DOIs	https://doi.org/10.1063/1.1672352
State	Published - 1969
Externally published	Yes

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title = "Dirac delta functions in the laplace-type expansion of rny lm(δ,Φ)",

abstract = "The theory of generalized functions and Fourier transforms is used to derive the Laplace-type expansion for r12nY lm(δ12, Φ12). This approach leads naturally to a general formula for the Dirac delta-function terms which occur when n≤ -3 and n-l is odd.",

author = "Kay, \{Kenneth G.\} and Todd, \{H. David\} and Silverstone, \{Harris J.\}",

year = "1969",

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AU - Todd, H. David

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AB - The theory of generalized functions and Fourier transforms is used to derive the Laplace-type expansion for r12nY lm(δ12, Φ12). This approach leads naturally to a general formula for the Dirac delta-function terms which occur when n≤ -3 and n-l is odd.

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Dirac delta functions in the laplace-type expansion of rⁿy _lm(δ,Φ)

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