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jstoobysmith 2025-02-07 15:43:59 +00:00
parent b82791d671
commit f8f1e1757f
25 changed files with 80 additions and 80 deletions
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8
HepLean/PerturbationTheory/FieldSpecification/CrAnFieldOp.lean
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@ -34,8 +34,8 @@ In this module in addition to defining `CrAnFieldOp` we also define some maps:
namespace FieldSpecification
variable (𝓕 : FieldSpecification)
/-- To each field operator the specificaition of the type of creation and annihlation parts.
For asymptotic staes there is only one allowed part, whilst for position
/-- To each field operator the specificaition of the type of creation and annihilation parts.
For asymptotic states there is only one allowed part, whilst for position
field operator there is two. -/
def fieldOpToCrAnType : 𝓕.FieldOp → Type
| FieldOp.inAsymp _ => Unit
@ -75,14 +75,14 @@ annihilation operators respectively.
-/
def CrAnFieldOp : Type := Σ (s : 𝓕.FieldOp), 𝓕.fieldOpToCrAnType s
/-- The map from creation and annihlation field operator to their underlying states. -/
/-- The map from creation and annihilation field operator to their underlying states. -/
def crAnFieldOpToFieldOp : 𝓕.CrAnFieldOp → 𝓕.FieldOp := Sigma.fst
@[simp]
lemma crAnFieldOpToFieldOp_prod (s : 𝓕.FieldOp) (t : 𝓕.fieldOpToCrAnType s) :
𝓕.crAnFieldOpToFieldOp ⟨s, t⟩ = s := rfl
/-- The map from creation and annihlation states to the type `CreateAnnihilate`
/-- The map from creation and annihilation states to the type `CreateAnnihilate`
specifying if a state is a creation or an annihilation state. -/
def crAnFieldOpToCreateAnnihilate : 𝓕.CrAnFieldOp → CreateAnnihilate
| ⟨FieldOp.inAsymp _, _⟩ => CreateAnnihilate.create