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refactor: Note

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jstoobysmith 2025-02-04 15:53:27 +00:00
parent ff6c8955b5
commit 256a1c3e94
5 changed files with 27 additions and 19 deletions
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8
HepLean/PerturbationTheory/FieldOpFreeAlgebra/Basic.lean
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@ -35,7 +35,7 @@ namespace FieldSpecification
variable {𝓕 : FieldSpecification}
/-- For a field specification `𝓕`, the algebra `𝓕.FieldOpFreeAlgebra` is
the algebra generated by creation and annihilation parts of field operators defined in
the free algebra generated by creation and annihilation parts of field operators defined in
`𝓕.CrAnFieldOp`.
It represents the algebra containing all possible products and linear combinations
of creation and annihilation parts of field operators, without imposing any conditions.
@ -44,6 +44,12 @@ abbrev FieldOpFreeAlgebra (𝓕 : FieldSpecification) : Type := FreeAlgebra ℂ
namespace FieldOpFreeAlgebra
remark naming_convention := "
For mathematicial objects defined in relation to `FieldOpFreeAlgebra` we will often postfix
their names with an `F` to indicate that they are related to the free algebra.
This is to avoid confusion when working within the context of `FieldOpAlgebra` which is defined
as a quotient of `FieldOpFreeAlgebra`."
/-- Maps a creation and annihlation state to the creation and annihlation free-algebra. -/
def ofCrAnOpF (φ : 𝓕.CrAnFieldOp) : FieldOpFreeAlgebra 𝓕 :=
FreeAlgebra.ι ℂ φ