Manuscript Em03-C@1 · Em03-C-v1.tex · figure · 47dd71ec

Joint count law

C0: the complete two-packet semiclassical baseline › Joint count law and correlations · lines 580–598

Em03-C@1#fig:counts

G(s)=1/\det(I+A(I-S))

Marginals
geometric, mean

\nu_i

\operatorname{Cov}=|A_{12}|^2

\operatorname{Var}=\nu_i(1+\nu_i)

Phase of

A_{12}

not fixed by counts

Synthetic split:

h_\pm=(u\pm v)/\sqrt2

can be orthonormal with

A_{12}\neq 0

when

\nu_u\neq\nu_v

. Disjoint

h_1,h_2

force

A_{12}=0

Joint count law. The dashed box is a state distinction invisible to number-diagonal records, including the later synthetic pair $∣ ψ_{\pm} ⟩$ . Not an executed coefficient comparison.

Nearby in this section

section: Joint count law and correlations
theorem: Theorem: Joint count generating function and Wick identities
example: Example: Orthogonality without independence
section: Joint count law and correlations