EQUATION REGISTRY

Carrier and complex envelope

This page uses the rest carrier k₀=0; the complex number represents two quadratures, not an event probability.

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-012
Φ(+)=Ψe−iω0t,S(+)=S0e−iω0t,Φreal=Re⁡(Ψe−iω0t)\Phi^{(+)}=\Psi e^{-i\omega_0t},\quad S^{(+)}=S_0e^{-i\omega_0t},\quad\Phi_{\rm real}=\operatorname{Re}(\Psi e^{-i\omega_0t})

This page uses the rest carrier k₀=0; the complex number represents two quadratures, not an event probability.
Chapter reference: Ch. 5 (5.1.31) · ASD-BOOK-ddbade997b45

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Ch. 5 (5.1.31)

This page uses the rest carrier k₀=0; the complex number represents two quadratures, not an event probability.

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 (5.1.31)

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Subsequent equationEnvelope equation before the slow-time approximationASD-WEB-QM-013DocumentHow Does a Spatial Field Yield an Effective Wave Equation?
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