Manuscript VII-J-ST@1 · VII-J-ST.tex · section · f1f1d82c

A finite-volume influence tail

Approximate simulation and the Hamiltonian comparison › A finite-volume influence tail · lines 1120–1131

Let $G = (X, E_{G})$ be finite and

H (t) = x \sum h_{x} (t) + e \in E_{G} \sum h_{e} (t), Λ (s, t) = \frac{1}{ℏ} \int_{s}^{t} e \sum ∥ h_{e} (r) ∥ d r,

with bounded piecewise-continuous self-adjoint onsite and two-site edge terms. Let $Ψ_{t, s}$ be its unitary channel.

Displayed formulas in this passage

unlabeled · line 1123
$H (t) = x \sum h_{x} (t) + e \in E_{G} \sum h_{e} (t), Λ (s, t) = \frac{1}{ℏ} \int_{s}^{t} e \sum ∥ h_{e} (r) ∥ d r,$