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Adiabatic Invariant of the Harmonic Oscillator

✍ Scribed by Kulsrud, Russell M.

Book ID
118159603
Publisher
The American Physical Society
Year
1957
Tongue
English
Weight
333 KB
Volume
106
Category
Article
ISSN
0031-899X

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The adiabatic invariants for quasi-pure-cubic oscillators with slowly varying parameters are obtained. The method developed for dynamic systems with small non-linearities [1] is extended to systems with large non-linearity. The method is based on Noether's theorem for invariance and the elliptic Kry