Clebsch–Gordan coefficient
coefficients in angular momentum eigenstates of quantum systems
Facts
6 properties- Instance of
- mathematical concept
- Subclass of
- special function
- Defining formula
- \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)!}}
- In defining formula
- \langle j_1,j_2;m_1,m_2\mid J,M\rangle, \delta_{M,m_1+m_2}, !
- Maintained by WikiProject
- WikiProject Mathematics[5]
- Named after
- Alfred Clebsch, Paul Gordan[3][4]
🏷️ Also known as
en Clebsch-Gordan coefficient
en Clebsch–Gordan coefficient
cs Clebschovy–Gordanovy koeficienty
cs CG koeficienty
de Clebsch-Gordan-Koeffizient
es coeficiente de Clebsch-Gordan
fa ضرایب کلبش-گوردون
fi CG-kertoimet
fi CG-kerroin
fi Clebsch-Gordan
fi Clebsch-Gordan -kerroin
fi Clebsch-Gordan -kertoimet
fi Clebsch-Gordan-kertoimet
fr coefficient de Clebsch-Gordan
he מקדמי קלבש-גורדן
it coefficiente di Clebsch-Gordan
it coefficienti di Clebsch-Gordan
ja クレブシュ-ゴルダン係数
ja クレプシュ＝ゴルダン係数
ko 클레프슈-고르단 계수
🔖 Identifiers · 7
- OpenAlex ID
- C23503194
- Encyclopedia of China (Third Edition) ID (2026)
- 37Ert8
- Encyclopedia of China (Third Edition) old ID (2021)
- 215494
- Freebase ID
- /m/043r3j
- MathWorld ID
- Clebsch-GordanCoefficient
- Microsoft Academic ID (discontinued)
- 23503194
- World of Physics ID
- Clebsch-GordanCoefficient
🔗 Connections
Created notable works 2
Named after 2
Maintained by WikiProject 1
Subclass of 1
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