Clebsch-Gordan coefficient (Q898619)

coefficients in angular momentum eigenstates of quantum systems

Language	Label	Description	Also known as
English	Clebsch-Gordan coefficient	coefficients in angular momentum eigenstates of quantum systems

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subclass of

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\langle j_{1},j_{2};m_{1},m_{2}\mid J,M\rangle =\delta _{M,m_{1}+m_{2}}{\sqrt {\frac {(2J+1)(J+j_{1}-j_{2})!(J-j_{1}+j_{2})!(j_{1}+j_{2}-J)!}{(j_{1}+j_{2}+J+1)!}}}\times {\sqrt {(J+M)!(J-M)!(j_{1}-m_{1})!(j_{1}+m_{1})!(j_{2}-m_{2})!(j_{2}+m_{2})!}}\times \sum _{k}{\frac {(-1)^{k}}{k!(j_{1}+j_{2}-J-k)!(j_{1}-m_{1}-k)!(j_{2}+m_{2}-k)!(J-j_{2}+m_{1}+k)!(J-j_{1}-m_{2}+k)!}}

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in defining formula

\langle j_{1},j_{2};m_{1},m_{2}\mid J,M\rangle

symbol represents

Clebsch-Gordan coefficient

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\delta _{M,m_{1}+m_{2}}

symbol represents

Kronecker delta

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!

symbol represents

factorial

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Encyclopedia of China (Third Edition) ID

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1 reference

28 October 2013

Clebsch-GordanCoefficient

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

World of Physics ID

Clebsch-GordanCoefficient

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Clebsch-Gordan coefficient (Q898619)

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Clebsch-Gordan coefficient (Q898619)

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Wikibooks(0 entries)

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Wikiquote(0 entries)

Wikisource(0 entries)

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