Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframQuantumComputation`DiracMatrix`
ToWeylBasis  |
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Details and Options
Examples
(4)
Basic Examples
(1)
The Weyl/chiral basis on the four-dimensional Minkowski signature:
In[1]:=
 | ToWeylBasis |
 | GammaMatrices |
 | FlatMetric |
Out[1]=
,
,
,
0 | 0 | 1 | 0 |
0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 |
0 | 1 | 0 | 0 |
0 | 0 | -1 | 0 |
0 | 0 | 0 | -1 |
1 | 0 | 0 | 0 |
0 | 1 | 0 | 0 |
0 | | 0 | 0 |
| 0 | 0 | 0 |
0 | 0 | 0 | - |
0 | 0 | - | 0 |
0 | 1 | 0 | 0 |
-1 | 0 | 0 | 0 |
0 | 0 | 0 | -1 |
0 | 0 | 1 | 0 |
In the Weyl basis the chirality operator =i is diagonal with eigenvalues :
γ
5
0
γ
1
γ
2
γ
3
γ
±1
In[2]:=
Moduleγ=
@
[1,3],Diagonal[IDot@@γ]
 | ToWeylBasis |
 | GammaMatrices |
| FlatMetric |
Out[2]=
{1,-1,-1,1}
Scope
(1)
Possible Issues
(1)
Neat Examples
(1)
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