EQUATION REGISTRY

Local response of a driven damped detector

Uses e⁻ⁱωᵗ and γD>0; a linear material-response model, not a universal measurement axiom.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-025
MD(q¨D+2γDq˙D+ωD2qD)=gDΦreal+ξD,χD(ω)=1MD(ωD2−ω2−2iγDω)M_D(\ddot q_D+2\gamma_D\dot q_D+\omega_D^2q_D)=g_D\Phi_{\rm real}+\xi_D,\qquad\chi_D(\omega)=\frac1{M_D(\omega_D^2-\omega^2-2i\gamma_D\omega)}

Uses e⁻ⁱωᵗ and γD>0; a linear material-response model, not a universal measurement axiom.
Chapter reference: Ch. 5 (5.3.17)–(5.3.18) · ASD-BOOK-ddbade997b45

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Ch. 5 (5.3.17)–(5.3.18)

Uses e⁻ⁱωᵗ and γD>0; a linear material-response model, not a universal measurement axiom.

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

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QM-0accdcbe7725 · Ch. 5 (5.3.17)–(5.3.18)

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Subsequent equationAverage absorbed power and conditional event rateASD-WEB-QM-026DocumentHow Can Continuous Fields Yield Discrete Detection Statistics?
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