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refactor: Pauli matrices

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jstoobysmith 2024-10-29 11:10:26 +00:00
parent 7a50680794
commit d7d435a1f8
7 changed files with 650 additions and 700 deletions
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2
HepLean/Tensors/ComplexLorentz/PauliMatrices/Basic.lean
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@ -41,7 +41,7 @@ open Fermion
def pauliContr := {PauliMatrix.asConsTensor | ν α β}ᵀ.tensor
/-- The Pauli matrices as the complex Lorentz tensor `σ_μ^α^{dot β}`. -/
def pauliCo := {Lorentz.coMetric | μ ν ⊗ PauliMatrix.asConsTensor | ν α β}ᵀ.tensor
def pauliCo := {Lorentz.coMetric | μ ν ⊗ pauliContr | ν α β}ᵀ.tensor
/-- The Pauli matrices as the complex Lorentz tensor `σ_μ_α_{dot β}`. -/
def pauliCoDown := {pauliCo | μ α β ⊗ Fermion.altLeftMetric | α α' ⊗