Package etomica.veos.bigdecimal

Class Wigner3j

java.lang.Object

etomica.veos.bigdecimal.Wigner3j

public class Wigner3j
extends java.lang.Object

Exact representations of Wigner 3jm and 3nj values of half-integer arguments.

Since:

2011-02-15

Constructor Summary

Constructors

Constructor	Description
Wigner3j()

Method Summary

Modifier and Type	Method	Description
static void	main(java.lang.String[] args)	Test programs.
static BigSurdVec	wigner3j(java.lang.String m1, java.lang.String t1, java.lang.String t2, java.lang.String j)	Wigner 3jn symbol.
static BigSurd	wigner3jm(int j1, int j2, int j3, int m1, int m2, int m3)	The Wigner 3jm symbol (j1,j2,j3,m1,m2,m3).
protected static BigSurd	wigner3jm(Rational j1, Rational j2, Rational j3, Rational m1, Rational m2, Rational m3)	The Wigner 3jm symbol (j1,j2,j3,m1,m2,m3).

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Wigner3j

public Wigner3j()

Method Detail

main

public static void main(java.lang.String[] args)

Test programs. This supports three types of direct evaluations:
java -cp . org.nevec.rjm.Wigner3j 3jm 2j1+1 2j2+1 2j3+1 2m1+1 2m2+1 2m3+1
java -cp . org.nevec.rjm.Wigner3j 6j 2j1+1 2j2+2 .. 2j6+1
java -cp . org.nevec.rjm.Wigner3j 9j 2j1+1 2j2+2 .. 2j9+1
The first command line argument is one of the three tags which determine whether a 3jm, a 6j or a 9j symbol will be computed. The other arguments are 6 or 9 integer values, which are the physical (half-integer) values multplied by 2 and augmented by 1. The order of the 6 or 9 values is as reading the corresponding standard symbol as first row, then second row (and for the 9j symbol) third row.

Since:

2011-02-15

wigner3jm

public static BigSurd wigner3jm(int j1,
                                int j2,
                                int j3,
                                int m1,
                                int m2,
                                int m3)

The Wigner 3jm symbol (j1,j2,j3,m1,m2,m3). All arguments of the function are the actual parameters multiplied by 2, so they all allow an integer representation.

Parameters:

j1 - integer representing 2*j1

j2 - integer representing 2*j2

j3 - integer representing 2*j3

m1 - integer representing 2*m1

m2 - integer representing 2*m2

m3 - integer representing 2*m3

Returns:

The value of the symbol. Zero if any of the triangular inequalities is violated or some parameters are out of range.

Since:

2011-02-13

wigner3j

public static BigSurdVec wigner3j(java.lang.String m1,
                                  java.lang.String t1,
                                  java.lang.String t2,
                                  java.lang.String j)

Wigner 3jn symbol. For the 6j symbol, the input of the 3 lines is "1 2 3 1 5 6", "4 5 3 4 2 6" "2j1+1 2j2+1 2j3+1 2l1+1 2l2+1 2l3+1"

Parameters:

m1 - The information on the number of angular momenta.

t1 - The list of one half of the triads, indexing j, whitespace separated

t2 - The list of the second half of the triads, indexing j, whitespace separated

j - The list of the integer values of the angular momenta. They are actually the doubled j-values plus 1, whitespace separated. Only as many as announced by the m1 parameter are used; trailing numbers are ignored.

Since:

2011-02-13, 2012-02-15 Upgraded return value to BigSurdVec

wigner3jm

protected static BigSurd wigner3jm(Rational j1,
                                   Rational j2,
                                   Rational j3,
                                   Rational m1,
                                   Rational m2,
                                   Rational m3)

The Wigner 3jm symbol (j1,j2,j3,m1,m2,m3). Warning: there is no check that each argument is indeed half-integer.

Parameters:

j1 - integer or half-integer j1

j2 - integer or half-integer j2

j3 - integer or half-integer j3

m1 - integer or half-integer m1

m2 - integer or half-integer m2

m3 - integer or half-integer m3

Returns:

The value of the symbol. Zero if any of the triangular inequalities is violated or some parameters are out of range.

Since:

2011-02-13