Extended gapped branch required for an envelope

Final equation 5.1.22 is the dispersion equality of the selected second-order gapped continuum channel. ka₀≪1 limits microscopic applicability; higher lattice terms are separate. B is real symmetric positive definite.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-005

\omega_a^2(\mathbf k)=\omega_0^2+c^2k_iB_{ij}k_j,\qquad ka_0\ll1

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Ch. 5 (5.1.22)

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 (5.1.22)

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