The Lean 4 theorem `schrodingerOp_apply` in the `ChapterSchrodingerCutoffEsa` chapter of the timepiece formalization
ProvedBookProof.SchrodingerCutoff.schrodingerOp_applytimepiece
The Lean 4 theorem schrodingerOp_apply in the ChapterSchrodingerCutoffEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterSchrodingerCutoffEsa.lean — theorem BookProof.SchrodingerCutoff.schrodingerOp_apply import Mathlib import Definitions.Def_ChapterSchrodingerCutoffEsa open BookProof.SchrodingerCutoff open MeasureTheory Filter Complex
Formal statement
theorem BookProof.SchrodingerCutoff.schrodingerOp_apply (V : ℝ → ℝ) (f f' f'' : ℝ → ℂ)
(hf1 : ∀ x, HasDerivAt f (f' x) x) (hf2 : ∀ x, HasDerivAt f' (f'' x) x) (x : ℝ) :
schrodingerOp V f x = -f'' x + (V x : ℂ) * f x := by sorrySource