Articles written in Pramana – Journal of Physics
Volume 86 Issue 4 April 2016 pp 747-761 Regular
Deriving relativistic Bohmian quantum potential using variational method and conformal transformations
Rahmani Faramarz Golshani Mehdi Sarbishei Mohsen
In this paper we shall argue that conformal transformations give some new aspects to a metric and changes the physics that arises from the classical metric. It is equivalent to adding a new potential to relativistic Hamilton–Jacobi equation. We start by using conformal transformations on a metric and obtain modified geodesics. Then, we try to show that extra terms in the modified geodesics are indications of a background force. We obtain this potential by using variational method. Then, we see that this background potential is the same as the Bohmian non-local quantum potential. This approach gives a method stronger than Bohm’s original method in deriving Bohmian quantumpotential. We do not use any quantum mechanical postulates in this approach.
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