Manuscript X-G-ST@1 · X-G-ST.tex · section · 3c97567f

Stage 2B: source switching is not density switching

Stage 2B: source switching is not density switching · lines 1268–1279

X-G-ST@1#eq:adjoint

For a fixed compact background $w$ , the unswitched operator $Q_{w}$ is formally symmetric. Hence

N_{w}^{T} = Q_{w} σ_{ε}, N_{w} - N_{w}^{T} = [σ_{ε}, Q_{w}] .

No equality between the two sides is automatic.

Displayed formulas in this passage

X-G-ST@1#eq:adjoint · line 1273
$N_{w}^{T} = Q_{w} σ_{ε}, N_{w} - N_{w}^{T} = [σ_{ε}, Q_{w}] .$