Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframQuantumComputation`DiracMatrix`
ToDiracBasis  |
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Details and Options
Examples
(7)
Basic Examples
(1)
The standard Dirac matrices in dimension 4: is diagonal :
0
γ
diag(1,1,-1,-1)
In[1]:=
 | ToDiracBasis |
 | GammaMatrices |
 | FlatMetric |
Out[1]=
,
,
,
1 | 0 | 0 | 0 |
0 | 1 | 0 | 0 |
0 | 0 | -1 | 0 |
0 | 0 | 0 | -1 |
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 | 0 | 0 | 1 |
0 | 0 | -1 | 0 |
0 | 1 | 0 | 0 |
-1 | 0 | 0 | 0 |
The Clifford relation is preserved by the basis change:
In[2]:=
Moduleη=
[1,3],γ,γ=
@
[η];Outer[#1.#2+#2.#1&,γ,γ,1]2TensorProduct[η,IdentityMatrix[4]]
 | FlatMetric |
 | ToDiracBasis |
| GammaMatrices |
Out[2]=
True
Scope
(3)
Applications
(1)
Possible Issues
(1)
Neat Examples
(1)
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""