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

Access to Document

10.1063/1.1672352

Cite this

@article{944e8fa58ebb439c87b4adab008a3002,

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",

doi = "10.1063/1.1672352",

language = "אנגלית",

volume = "51",

pages = "2359--2362",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "6",

}

TY - JOUR

T1 - Dirac delta functions in the laplace-type expansion of rny lm(δ,Φ)

AU - Kay, Kenneth G.

AU - Todd, H. David

AU - Silverstone, Harris J.

PY - 1969

Y1 - 1969

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0038874452&partnerID=8YFLogxK

U2 - 10.1063/1.1672352

DO - 10.1063/1.1672352

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0038874452

SN - 0021-9606

VL - 51

SP - 2359

EP - 2362

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 6

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this