Klaus_Hoffmann
- 85
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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.
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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