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Paper   IPM / Physic / 14821
School of Physics
  Title:   Deriving relativistic Bohmian quantum potential using variational method and conformal transformations
  Author(s): 
1.  F. Rahmani
2.  M. Golshani
3.  M. Sarbishei
  Status:   Published
  Journal: PRAMANA J. Phys.
  Vol.:  85
  Year:  2016
  Pages:   747-761
  Supported by:  IPM
  Abstract:
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 quantum potential. We do not use any quantum mechanical postulates in this approach.

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