Nathaniel at 15:14, 29 September 2014

2014-09-29T15:14:06Z

Nathaniel: Created page with "{{Function |name=GellMann |desc=Produces a Gell-Mann operator |req=opt_args |rel=GenGellMann
GenPauli
Pauli |upd=December 18, 2013 |v=1.00}} `'''G..."`

2013-12-18T19:49:27Z Created page with "{{Function |name=GellMann |desc=Produces a Gell-Mann operator |req=opt_args |rel=GenGellMann<br />GenPauli<br />Pauli |upd=December 18, 2013 |v=1.00}} <tt>'''G..." New page {{Function |name=GellMann |desc=Produces a Gell-Mann operator |req=[[opt_args]] |rel=[[GenGellMann]]<br />[[GenPauli]]<br />[[Pauli]] |upd=December 18, 2013 |v=1.00}} <tt>'''GellMann'''</tt> is a [[List of functions|function]] that produces the 3-by-3 Gell-Mann matrices, as defined here: :{| border="0" cellpadding="8" cellspacing="0" |<math>g_0 = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}</math> |<math>g_1 = \begin{bmatrix} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}</math> |<math>g_2 = \begin{bmatrix} 0 & -i & 0 \\ i & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}</math> |<math>g_3 = \begin{bmatrix} 1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 0 \end{bmatrix}</math> |<math>g_4 = \begin{bmatrix} 0 & 0 & 1 \\ 0 & 0 & 0 \\ 1 & 0 & 0 \end{bmatrix}</math> |- | |<math>g_5 = \begin{bmatrix} 0 & 0 & -i \\ 0 & 0 & 0 \\ i & 0 & 0 \end{bmatrix}</math> |<math>g_6 = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}</math> |<math>g_7 = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & -i \\ 0 & i & 0 \end{bmatrix}</math> |<math>g_8 = \frac{1}{\sqrt{3}} \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -2 \end{bmatrix}</math> |} ==Syntax== * <tt>G = GellMann(IND)</tt> * <tt>G = GellMann(IND,SP)</tt> ==Argument descriptions== * <tt>IND</tt>: An index indicating which Gell-Mann operator you would like to be generated. Should be an integer between 0 and 8, inclusive. * <tt>SP</tt> (optional, default 0): A flag (either 1 or 0) indicating that the Gell-Mann operator produced should or should not be sparse. ==Examples== <pre> >> GellMann(1) ans = 0 1 0 1 0 0 0 0 0 >> GellMann(3,1) % the matrix produced here will be sparse ans = (1,1) 1 (2,2) -1 </pre> ==External links== * [http://en.wikipedia.org/wiki/Gell-Mann_matrices Gell-Mann matrices] at Wikipedia

@@ Line 2: / Line 2: @@
 |name=GellMann
 |desc=Produces a Gell-Mann operator
 |rel=[[GenGellMann]]<br />[[GenPauli]]<br />[[Pauli]]
 |upd=December 18, 2013
-|v=1.00}}
+|v=0.50}}
 <tt>'''GellMann'''</tt> is a [[List of functions|function]] that produces the 3-by-3 Gell-Mann matrices, as defined here:
@@ Line 31: / Line 31: @@
 ==Examples==
-<pre>
+<syntaxhighlight>
 >> GellMann(1)
@@ Line 46: / Line 46: @@
     (1,1)        1
     (2,2)       -1
-</pre>
+</syntaxhighlight>
 ==External links==
 * [http://en.wikipedia.org/wiki/Gell-Mann_matrices Gell-Mann matrices] at Wikipedia

GellMann - Revision history

Nathaniel at 15:14, 29 September 2014

Nathaniel: Created page with "{{Function |name=GellMann |desc=Produces a Gell-Mann operator |req=opt_args |rel=GenGellMannGenPauliPauli |upd=December 18, 2013 |v=1.00}} '''G..."

Nathaniel: Created page with "{{Function |name=GellMann |desc=Produces a Gell-Mann operator |req=opt_args |rel=GenGellMann
GenPauli
Pauli |upd=December 18, 2013 |v=1.00}} `'''G..."`