Clebsch-Gordan coefficients - Revision history

Carl McBride: /* References */ Added a reference.

2008-06-19T10:41:45Z

References: Added a reference.

← Older revision		Revision as of 12:41, 19 June 2008
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	(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).		(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).
	==References==		==References==
			#[http://dx.doi.org/10.1103/PhysRev.62.438 Giulio Racah "Theory of Complex Spectra. II", Physical Review '''62''' pp. 438-462 (1942)]
	#[http://ptp.ipap.jp/link?PTPS/13/1/ Taro Shimpuku "General Theory and Numerical Tables of Clebsch-Gordan Coefficients", Progress of Theoretical Physics Supplement '''13''' pp. 1-135 (1960)]		#[http://ptp.ipap.jp/link?PTPS/13/1/ Taro Shimpuku "General Theory and Numerical Tables of Clebsch-Gordan Coefficients", Progress of Theoretical Physics Supplement '''13''' pp. 1-135 (1960)]
	#M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix I		#M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix I
	#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]		#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]
	[[category: mathematics]]		[[category: mathematics]]

Carl McBride: /* References */ Added a reference

2008-06-19T10:26:55Z

References: Added a reference

← Older revision		Revision as of 12:26, 19 June 2008
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	(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).		(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).
	==References==		==References==
			#[http://ptp.ipap.jp/link?PTPS/13/1/ Taro Shimpuku "General Theory and Numerical Tables of Clebsch-Gordan Coefficients", Progress of Theoretical Physics Supplement '''13''' pp. 1-135 (1960)]
	#M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix I		#M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix I
	#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]		#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]
	[[category: mathematics]]		[[category: mathematics]]

Carl McBride: /* References */ Added a reference

2008-06-18T15:59:54Z

References: Added a reference

← Older revision		Revision as of 17:59, 18 June 2008
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	(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).		(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).
	==References==		==References==
			#M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix I
	#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]		#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]
	[[category: mathematics]]		[[category: mathematics]]

Carl McBride: New page: The Clebsch-Gordan coefficients are defined by : $\Psi_{JM}= \sum_{M=M_1 + M_2} C_{M_1 M_2}^J \Psi_{M_1 M_2},$ where $J \equiv J_1 + J_2$ and satisfies $(j_1j_2...$

2008-01-31T14:56:36Z

New page: The Clebsch-Gordan coefficients are defined by :<math>\Psi_{JM}= \sum_{M=M_1 + M_2} C_{M_1 M_2}^J \Psi_{M_1 M_2},</math> where <math>J \equiv J_1 + J_2</math> and satisfies <math>(j_1j_2...

New page

The Clebsch-Gordan coefficients are defined by

:<math>\Psi_{JM}= \sum_{M=M_1 + M_2} C_{M_1 M_2}^J \Psi_{M_1 M_2},</math>

where <math>J \equiv J_1 + J_2</math> and satisfies <math>(j_1j_2m_1m_2|j_1j_2m)=0</math>
for <math>m_1+m_2\neq m</math>.
They are used to integrate products of three [[spherical harmonics]] (for example the addition of angular momenta).
The Clebsch-Gordan coefficients are sometimes expressed using the related Racah V-coefficients,
<math>V(j_1j_2j;m_1m_2m)</math>
(See also the [[Racah W-coefficients]], sometimes simply called the Racah coefficients).
==References==
#[http://dx.doi.org/10.1016/0010-4655(74)90059-9 Robert E. Beck and Bernard Kolman "Racah's outer multiplicity formula", Computer Physics Communications '''8''' pp. 95-100 (1974)]
[[category: mathematics]]

Clebsch-Gordan coefficients - Revision history

Carl McBride: /* References */ Added a reference.

Carl McBride: /* References */ Added a reference

Carl McBride: /* References */ Added a reference

Carl McBride: New page: The Clebsch-Gordan coefficients are defined by :\Psi_{JM}= \sum_{M=M_1 + M_2} C_{M_1 M_2}^J \Psi_{M_1 M_2}, where J \equiv J_1 + J_2 and satisfies (j_1j_2...

Carl McBride: New page: The Clebsch-Gordan coefficients are defined by : $\Psi_{JM}= \sum_{M=M_1 + M_2} C_{M_1 M_2}^J \Psi_{M_1 M_2},$ where $J \equiv J_1 + J_2$ and satisfies $(j_1j_2...$