proposition 28.60 A wave packet translates at $v_{g}$ and spreads at a rate set by the curvature of $\omega(k)$
open in the book ·
parts/03-classical-mechanics/11-oscillations-waves.tex:2168
· p. 970
Rests on
- depends_on definition 17.29 Fourier transform; the treatise convention ¶
- depends_on equation 28.61 eq:osc-velocities ¶
- proves proof ch:11-oscillations-waves@proof-33 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Fourier transform; the treatise convention | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:2184 |
depends_on |
→ | eq:osc-velocities | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:2184 |
proves |
← | ch:11-oscillations-waves@proof-33 | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:2187 |