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Equivalence Principle, Planck Length and Quantum HamiltonJacobi Equation  Alon E. Faraggi
; Marco Matone
;  Date: 
17 Sep 1998  Journal:  Phys.Lett. B445 (1998) 7781  Subject:  High Energy Physics  Theory; Mathematical Physics; Exactly Solvable and Integrable Systems  hepth grqc hepph mathph math.MP nlin.SI quantph solvint  Abstract:  The Quantum Stationary HJ Equation (QSHJE) that we derived from the equivalence principle, gives rise to initial conditions which cannot be seen in the Schroedinger equation. Existence of the classical limit leads to a dependence of the integration constant $ell=ell_1+iell_2$ on the Planck length. Solutions of the QSHJE provide a trajectory representation of quantum mechanics which, unlike Bohm’s theory, has a nontrivial action even for bound states and no wave guide is present. The quantum potential turns out to be an intrinsic potential energy of the particle which, similarly to the relativistic rest energy, is never vanishing.  Source:  arXiv, hepth/9809125  Services:  Forum  Review  PDF  Favorites 


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