(adsbygoogle = window.adsbygoogle || []).push({}); Can we apply 'Quantization' only from motion equation ??

Supposing you have the equation of motion (in terms of momenta and position)

[tex] F(\dot p_{a} , q_{a})=0 [/tex]

then can you obtain the 'Quantum analogue' without the intervention of the Lagrangian ???

and another question could we regard the expression

[tex] \int \mathcal D[q(t)] e^{-\int_{a}^{b}dt \mathcal L (q, \dot q , t)} [/tex]

as a 'Zeta function' of something evaluated at a point s=1 where

[tex] \int_{a}^{b}dt \mathcal L (q, \dot q , t)} =logM[q(t)] [/tex]

being M another functional, so the problems involving Functional integration (if not all many of them) could be sovled by Zeta regularization.

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# Can we apply 'Quantization' only from motion equation ?

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