Conditional position distribution for a detection protocol

Nonzero total detection rate with stated efficiency, thickness and time window. For normal-flux sampling jn=vn|Ψ|²; normalized squared modulus also requires constant or cancelling vn across compared positions.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-027

\mathcal R(\mathbf r,t)=\eta_D(\mathbf r,t)|\Psi|^2,\quad\mathcal R_A=\int_{\rm thickness}\mathcal R\,dz,\quad p(Y\mid\mathrm{det})=\frac{\int_{\mathcal T}\mathcal R_A(Y,t)dt}{\int dA\int_{\mathcal T}\mathcal R_A(Y,t)dt}

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation

Source and ID

ASD-WEB-QM-027 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

Return to premises and derivation

Adopted source, conditions and previous versions

Ch. 5 (5.3.20)–(5.3.21)

Conditions retained in this adoption

Selected channel and stated initial/boundary conditions; action/energy matching retained
Continuum, slow-envelope and detector approximations kept at their respective levels

Specific unresolved source issues

QC-DETECTION-002: normal-velocity weighting in the Born reduction

Source locators: p1954 · p1959 · p1960 · p1962 · p2305

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

Download source identity manifest

The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.

Previous source, retained as history

QM-0accdcbe7725 · Ch. 5 (5.3.20)–(5.3.21)

DEPENDS ON

Dependencies

USED BY

Uses of this equation

Discuss this page Browse all equations