Action variable of a shifted harmonic oscillator
= Action variable of a shifted harmonic oscillator
For $F=(p^2+W^2q^2+aq)/2$, shifting $Q=q+a/(2W^2)$ gives oscillator energy $E=F+a^2/(8W^2)$ and action $I=E/|W|$.
= Action variable of a shifted harmonic oscillator
For $F=(p^2+W^2q^2+aq)/2$, shifting $Q=q+a/(2W^2)$ gives oscillator energy $E=F+a^2/(8W^2)$ and action $I=E/|W|$.