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29 March 2024
 
  » arxiv » hep-th/9801033

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Quantum Transformations
Alon E. Faraggi ; Marco Matone ;
Date 9 Dec 1997
Journal Phys.Lett. A249 (1998) 180-190
Subject hep-th gr-qc quant-ph
AbstractWe show that the stationary quantum Hamilton-Jacobi equation of non-relativistic 1D systems, underlying Bohmian mechanics, takes the classical form with $partial_q$ replaced by $partial_{hat q}$ where $dhat q={dqover sqrt{1-eta^2}}$. The $eta^2$ term essentially coincides with the quantum potential that, like $V-E$, turns out to be proportional to a curvature arising in projective geometry. In agreement with the recently formulated equivalence principle, these ``quantum transformations’’ indicate that the classical and quantum potentials deform space geometry.
Source arXiv, hep-th/9801033
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