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refactor: Some properties of field specifications (#285)

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* refactor: Fix field struct defn.

* rename: FieldStruct to FieldSpecification

* feat: Add examples of field specifications

* docs: Slight improvement of module docs
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Joseph Tooby-Smith 2025-01-21 06:11:47 +00:00 • committed by GitHub
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29 changed files with 153 additions and 126 deletions
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HepLean/PerturbationTheory/Algebras/CrAnAlgebra/Basic.lean
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@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.PerturbationTheory.Algebras.StateAlgebra.Basic
import HepLean.PerturbationTheory.FieldStruct.CrAnSection
import HepLean.PerturbationTheory.FieldSpecification.CrAnSection
/-!
# Creation and annihlation free-algebra
@ -31,15 +31,15 @@ super commutation relations between creation and annihilation operators.
-/
namespace FieldStruct
variable {𝓕 : FieldStruct}
namespace FieldSpecification
variable {𝓕 : FieldSpecification}
/-- The creation and annihlation free-algebra.
The free algebra generated by `CrAnStates`,
that is a position based states or assymptotic states with a specification of
whether the state is a creation or annihlation state.
As a module `CrAnAlgebra` is spanned by lists of `CrAnStates`. -/
abbrev CrAnAlgebra (𝓕 : FieldStruct) : Type := FreeAlgebra ℂ 𝓕.CrAnStates
abbrev CrAnAlgebra (𝓕 : FieldSpecification) : Type := FreeAlgebra ℂ 𝓕.CrAnStates
namespace CrAnAlgebra
@ -263,4 +263,4 @@ noncomputable def smulLinearMap (c : ℂ) : CrAnAlgebra 𝓕 →ₗ[ℂ] CrAnAlg
end CrAnAlgebra
end FieldStruct
end FieldSpecification