EQUATION REGISTRY

Gaussian envelope saturating the width bound

σx>0; widths are standard deviations, not slit first-zero or half-maximum widths.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 5

ASD-WEB-QM-024
ψ(x)=e−(x−x0)2/(4σx2)+ik0x(2πσx2)1/4,Δx=σx,Δk=1/(2σx)\psi(x)=\frac{e^{-(x-x_0)^2/(4\sigma_x^2)+ik_0x}}{(2\pi\sigma_x^2)^{1/4}},\quad\Delta x=\sigma_x,\quad\Delta k=1/(2\sigma_x)

σx>0; widths are standard deviations, not slit first-zero or half-maximum widths.
Chapter reference: Ch. 5 (5.3.26) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Ch. 5 (5.3.26)

σx>0; widths are standard deviations, not slit first-zero or half-maximum widths.

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: p1967 · p1971 · p1974 · p1979 · p1980

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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QM-0accdcbe7725 · Ch. 5 (5.3.26)

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