EQUATION REGISTRY

Conditional second-order channel equation

ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-011
[∂t2−c2∂i(Bij∂j)+ω02+2ω0ℏV]Φ(+)=S(+)\left[\partial_t^2-c^2\partial_i(B_{ij}\partial_j)+\omega_0^2+\frac{2\omega_0}{\hbar}V\right]\Phi^{(+)}=S^{(+)}

ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.
Chapter reference: Ch. 5 (5.1.30) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Ch. 5 (5.1.30)

ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.

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

Source locators: p1770 · p1803 · p1826 · p1833 · p1837 · p1841

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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QM-0accdcbe7725 · Ch. 5 (5.1.30)

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