Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframQuantumComputation`DiracMatrix`
GammaMatrices  |
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Details and Options
Examples
(10)
Basic Examples
(1)
The four-dimensional Minkowski (1, 3) gamma matrices:
In[1]:=
 | 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 |
Verify the Clifford anticommutation relation:
In[2]:=
Moduleη=
[1,3],γ,γ=
[η];Outer[#1.#2+#2.#1&,γ,γ,1]2TensorProduct[η,IdentityMatrix[4]]
 | FlatMetric |
 | GammaMatrices |
Out[2]=
True
Scope
(4)
Applications
(3)
Possible Issues
(1)
Neat Examples
(1)
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""