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Classical Physics
Mechanics
Linearity of time evolution in classical mechanics
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[QUOTE="vanhees71, post: 5867641, member: 260864"] You get linear equations of motion for the important case of harmonic oscillators. The EoM reads $$m \ddot{x}+2 m \gamma \dot{x}+m\omega^2 x=F,$$ where ##F=F(t)## is an external force, ##\gamma## the damping, and ##\omega## the eigenfrequency of the (undamped) oscillator. It's among the most simple equations of state, and you should carefully study its solutions. It's often a good approximation for the bound motion around the minimum of a more complicated potential, if the deviation from this stable fix point doesn't become too large (small amplitudes of oscillations). [/QUOTE]
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Linearity of time evolution in classical mechanics
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