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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/086/04/0747-0761

    • Keywords

       

      Bohmian quantum mechanics; quantum potential; non-locality; conformal transformations.

    • 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 quantumpotential. We do not use any quantum mechanical postulates in this approach.

    • Author Affiliations

       

      Rahmani Faramarz1 2 Golshani Mehdi2 3 Sarbishei Mohsen1

      1. Department of Physics, Ferdowsi University of Mashhad, Azadi Sq., Mashhad, Iran
      2. School of Physics, Institute for Research in Fundamental Science (IPM), Tehran, Iran
      3. Department of Physics, Sharif University of Technology, Tehran, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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