Quantum Transformations

dc.creator	Faraggi, Alon E.
dc.creator	Matone, Marco
dc.date	1998-01-09
dc.date	1998-09-17
dc.date.accessioned	2026-07-07T11:10:25Z
dc.date.available	2026-07-07T11:10:25Z
dc.description	We 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 $d\hat q={dq\over \sqrt{1-β^2}}$. The $β^2$ 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.
dc.description	19 pages, LaTeX. Extended version to be published in Phys. Lett. A
dc.identifier	https://arxiv.org/abs/hep-th/9801033
dc.identifier	http://arxiv.org/abs/hep-th/9801033
dc.identifier	Phys.Lett.A249:180-190,1998
dc.identifier	doi:10.1016/S0375-9601(98)00723-3
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/190776
dc.subject	High Energy Physics - Theory
dc.subject	General Relativity and Quantum Cosmology
dc.subject	Quantum Physics
dc.title	Quantum Transformations
dc.type	text

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