EQUATION REGISTRY

Initial data and retarded response

A solution representation for a specified linear operator, initial data and source; coupled channels require a matrix Green function.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-006
ηa(r,t)=ηa,in(r,t)+∫t0t ⁣dt′ ⁣∫d3r′ Garet(r−r′,t−t′)Sa(r′,t′)\eta_a(\mathbf r,t)=\eta_{a,\mathrm{in}}(\mathbf r,t)+\int_{t_0}^{t}\!dt'\!\int d^3r'\,G_a^{\mathrm{ret}}(\mathbf r-\mathbf r',t-t')S_a(\mathbf r',t')

A solution representation for a specified linear operator, initial data and source; coupled channels require a matrix Green function.
Chapter reference: Ch. 5 (5.1.23)–(5.1.24) · ASD-BOOK-ddbade997b45

Source and ID

ASD-WEB-QM-006 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Adopted source, conditions and previous versions

Ch. 5 (5.1.23)–(5.1.24)

A solution representation for a specified linear operator, initial data and source; coupled channels require a matrix Green function.

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-THRESHOLD-001: strict versus non-strict radiation threshold

Source locators: p1792 · p1809 · p1822 · p1823 · p1846 · p1857

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

QM-0accdcbe7725 · Ch. 5 (5.1.23)–(5.1.24)

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