Quantum Transformations

Details Quantum Transformations Quantum Transformations

1998-01-09

arxiv.org/abs/hep-th/9801033v2

Phys.Lett.A249:180-190,1998

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX. Extended version to be published in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(98)00723-3

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 $d\hat q={dq\over \sqrt{1-\beta^2}}$. The $\beta^2$ 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.

Affiliated with

Also associated with

No associations

Rating

Quantum Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52512