Manuscript XIV-D@1 · XIV-D.tex · section · 1a7f173d

The grouped expression

D0: the unchanged contract › The grouped expression · lines 525–544

XIV-D@1#eq:grouped

The convention remains

R_{1} (V_{g}; O) = \frac{i}{ℏ} (T_{2}^{ren} (V_{g}, O) - V_{g} ⋆_{H} O) .

The requested two-line coefficient is specified formally by

B_{form} = \frac{i}{2} ⟨ V_{g}^{''} \otimes O^{''}, H_{T}^{\otimes 2} - H^{\otimes 2} ⟩ .

This difference stays grouped. No separate mixed product of $H$ and $G_{act}^{A}$ is assigned an existence statement.

Displayed formulas in this passage

XIV-D@1#eq:grouped · line 535
$B_{form} = \frac{i}{2} ⟨ V_{g}^{''} \otimes O^{''}, H_{T}^{\otimes 2} - H^{\otimes 2} ⟩ .$
unlabeled · line 528
$R_{1} (V_{g}; O) = \frac{i}{ℏ} (T_{2}^{ren} (V_{g}, O) - V_{g} ⋆_{H} O) .$