If Bohmain mechanics is true then the path integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int{d[\phi]}e^{(i/\hbar)\int_{a}^{b}Ldt [/tex] where the Lagrangian is:

[tex]L=(1/2)m(dx/dt)^{2}-V(x)+(\hbar^{2}/2m)\nabla^{2}\rho[/tex]

should be equal to its semiclassical expansion...(as in both cases are trajectories) my question is how would one reformalize Bohmian mechanics by means of path integrals?..thanks.

Anohter question if a path integral calculated exactly gives the Schroedinguer equation..then its semiclassical expansion wouldn,t give us the Hamilton-Jacobi equation?..thanx.

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# Path integral formulation of Bohmian mechanics

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