Manuscript Hawk01-A@1 · Hawk01-A.tex · section · 11979653

Normal finite-packet restrictions

Finite outgoing packets and ordinary detection › Normal finite-packet restrictions · lines 998–1013

Hawk01-A@1#eq:packetcovariance

Choose $k$ orthonormal outgoing one-particle functions $h_{1}, \dots, h_{k}$ , with all angular and species labels included. Assume their occupation integrals are finite. Let $b_{a} = b_{h_{a}}$ and define

K_{ab} := ⟨ b_{b}^{†} b_{a} ⟩ = \int_{0}^{\infty} h_{a} (ω) h_{b} (ω) n_{out} (ω) d ω,

with the appropriate angular-sector Kronecker factors.

Displayed formulas in this passage

Hawk01-A@1#eq:packetcovariance · line 1004
$K_{ab} := ⟨ b_{b}^{†} b_{a} ⟩ = \int_{0}^{\infty} h_{a} (ω) h_{b} (ω) n_{out} (ω) d ω,$

Nearby in this section

proposition: Proposition: Finite Gaussian packet state
section: Normal finite-packet restrictions