Clebsch–Gordan coefficient
coefficients in angular momentum eigenstates of quantum systems
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Clebsch–Gordan coefficient
Summary
Clebsch–Gordan coefficient is a mathematical concept[1]. It ranks in the top 8% of mathematical_concept entities by monthly Wikipedia readership (249 views/month).[2]
Key Facts
- Clebsch–Gordan coefficient's instance of is recorded as mathematical concept[3].
- Alfred Clebsch is named after Clebsch–Gordan coefficient[4].
- Paul Gordan is named after Clebsch–Gordan coefficient[5].
- Clebsch–Gordan coefficient's subclass of is recorded as special function[6].
- Clebsch–Gordan coefficient's Freebase ID is recorded as /m/043r3j[7].
- Clebsch–Gordan coefficient's defining formula is recorded as \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)!}}[8].
- Clebsch–Gordan coefficient's MathWorld ID is recorded as Clebsch-GordanCoefficient[9].
- Clebsch–Gordan coefficient's World of Physics ID is recorded as Clebsch-GordanCoefficient[10].
- Clebsch–Gordan coefficient's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Clebsch–Gordan coefficient's Microsoft Academic ID is recorded as 23503194[12].
- Clebsch–Gordan coefficient's in defining formula is recorded as \langle j_1,j_2;m_1,m_2\mid J,M\rangle[13].
- Clebsch–Gordan coefficient's in defining formula is recorded as \delta_{M,m_1+m_2}[14].
- Clebsch–Gordan coefficient's in defining formula is recorded as ![15].
- Clebsch–Gordan coefficient's OpenAlex ID is recorded as C23503194[16].
- Clebsch–Gordan coefficient's Encyclopedia of China is recorded as 215494[17].
Why It Matters
Clebsch–Gordan coefficient ranks in the top 8% of mathematical_concept entities by monthly Wikipedia readership (249 views/month).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[18] It is known by 18 alternative names across languages and contexts.[19]