Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

DiracMatrix

Guides

  • DiracMatrix

Symbols

  • CliffordBasis
  • CliffordCanonicalBasis
  • EuclideanGammaMatrices
  • FlatMetric
  • GammaMatrices
  • MetricVielbein
  • NumericZeroQ
  • RandomCurvedMetric
  • ToDiracBasis
  • ToWeylBasis
WolframQuantumComputation`DiracMatrix`
CliffordBasis
​
CliffordBasis[η]
returns the canonical graded Clifford operator basis computed via an antisymmetrised recursion; same shape as CliffordCanonicalBasis but much faster and numerically stable.
​
Details and Options
​
Examples  
(7)
Basic Examples  
(1)
The four-dimensional Minkowski basis has 1 + 4 + 6 + 4 + 1 = 16 elements grouped by grade:
In[1]:=
Length/@
CliffordBasis

FlatMetric
[1,3]
Out[1]=
{1,4,6,4,1}
The grade-1 elements are the gamma matrices:
In[2]:=
CliffordBasis

FlatMetric
[1,3]2===
GammaMatrices

FlatMetric
[1,3]
Out[2]=
True
Scope  
(3)

Applications  
(1)

Possible Issues  
(1)

Neat Examples  
(1)

SeeAlso
CliffordCanonicalBasis
 
▪
GammaMatrices
 
▪
FlatMetric
 
▪
RandomCurvedMetric
 
▪
NumericZeroQ
RelatedGuides
▪
DiracMatrix
""

© 2026 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com