Manuscript Em03-A@1 · Em03-A-v1.tex · section · 6d54627d

Scattering of the quantum channels

Outgoing observables, rate normalization, and error bounds › Scattering of the quantum channels · lines 936–954

Em03-A@1#eq:quantumscatter

Let the row of the scattering matrix corresponding to future null infinity be

(τ_{ℓ} (ω), ρ_{I, ℓ} (ω)) .

Define

a_{out} (ω) = τ_{ℓ} (ω) a_{H} (ω) + ρ_{I, ℓ} (ω) a_{I} (ω) .

Because the classical scattering is stationary, it preserves Killing frequency and does not mix annihilation with creation in this equation. The affine-to-Killing change has already been accounted for in the horizon state.

Displayed formulas in this passage

Em03-A@1#eq:quantumscatter · line 944
$a_{out} (ω) = τ_{ℓ} (ω) a_{H} (ω) + ρ_{I, ℓ} (ω) a_{I} (ω) .$
unlabeled · line 940
$(τ_{ℓ} (ω), ρ_{I, ℓ} (ω)) .$

Nearby in this section

proposition: Proposition: Outgoing packet expectation
remark: Remark: Greybody weighting is not exact KMS thermality