Which is the on-shell condition in classical mechanics? I mean in QFT we use to tell about external particle state as to be in a on-shell condition which means that these particles have to statisfy the mass shell relation $p^2=m^2$. But in Classical Mechanics which is the shell? I figured out that on-shell condition means that the particle must follow the EOM, so I guess that shell condition has to be $\ddot{q}(t)=0$, is it correct?
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3Yes, it is correct. "On-shell" means a configuration that satisfies the classical equations of motion. – Gold Jan 24 '23 at 23:33
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Possible duplicate: https://physics.stackexchange.com/q/491018/2451 – Qmechanic Jan 25 '23 at 03:52