Changes in adiabatic invariants

DOI10.1016/0003-4916(91)90243-2zbMath0722.70020OpenAlexW2053368498MaRDI QIDQ756466

Ye Mu, Joseph B. Keller

Publication date: 1991

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(91)90243-2

zbMATH Keywords

reflectiontransmissionanalytic functionharmonic oscillatorWKB solutionadiabatic processslowly varying frequency

Mathematics Subject Classification ID

Free motions for nonlinear problems in mechanics (70K25) Dynamical systems and ergodic theory (37-XX)

Related Items (1)

Energy content in linear mechanical systems with arbitrary time dependence

Cites Work

• Adiabatic invariance to all orders
• Adiabatic variation. II: Action change for the simple oscillator
• Adiabatic invariance. III: The equation \(\ddot x = -V_ x(x,\omega)\). IV: Note on a new method for Lorentz's pendulum problem
• Lorentz's pendulum problem
• Adiabatic Invariant of the Harmonic Oscillator
• Asymptotic Estimates for the Adiabatic Invariance of a Simple Oscillator
• Calculation of an Adiabatic Invariant by Turning Point Theory
• Uniform asymptotic solutions of second order linear ordinary differential equations with turning points

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