definition 28.3 Simple harmonic oscillator
open in the book ·
parts/03-classical-mechanics/11-oscillations-waves.tex:83
· p. 946
- ground object -- no derivation owed
Rests on
-
depends_on
definition 16.96
Action; Hamilton's principle
¶
- depends_on definition 21.31 Lagrangian ¶
- depends_on equation 16.11 eq:calcvar-basic-functional ¶
-
depends_on
theorem 16.97
Equivalence with Newton's second law
¶
- depends_on equation 16.30 eq:calcvar-euler-lagrange-system ¶
- depends_on equation 16.86 eq:calcvar-hamilton-action ¶
- proves proof ch:14-calculus-of-variations@proof-46 ¶
Supports
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Neighborhood
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- declared and complete
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Action; Hamilton's principle | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:101 |
depends_on |
→ | Equivalence with Newton's second law | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:101 |