wigner_functions.cc File Reference

#include "wigner_functions.h"
#include <stdexcept>
#include <sstream>

Go to the source code of this file.

Functions
Numeric	wigner3j (const Rational j1, const Rational j2, const Rational j3, const Rational m1, const Rational m2, const Rational m3)
Numeric	wigner6j (const Rational j1, const Rational j2, const Rational j3, const Rational J1, const Rational J2, const Rational J3)

Function Documentation

wigner3j()

Numeric wigner3j	(	const Rational	j1,
		const Rational	j2,
		const Rational	j3,
		const Rational	m1,
		const Rational	m2,
		const Rational	m3
	)

Equation 34.2.4 in http://dlmf.nist.gov/34.2

Some test cases to simplify the calculations are made for m_i=0.

Definition at line 28 of file wigner_functions.cc.

References abs, factorials(), Rational::toIndex(), and triangular_inequality().

wigner6j()

Numeric wigner6j	(	const Rational	j1,
		const Rational	j2,
		const Rational	j3,
		const Rational	J1,
		const Rational	J2,
		const Rational	J3
	)

Equation 34.4.2 in http://dlmf.nist.gov/34.4 may be invalid.

Using Equation 4 in http://mathworld.wolfram.com/Wigner6j-Symbol.html instead

Simplifications are made for J1 = 1.

Definition at line 119 of file wigner_functions.cc.

References factorials(), Rational::toIndex(), Rational::toNumeric(), triangle_coefficient(), and triangular_inequality().

Referenced by test45().