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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/087/02/0023

    • Keywords

       

      Bohmian quantum mechanics, quantum potential, soliton, scalar field theory

    • Abstract

       

      In the framework of Bohmian quantum mechanics, the Klein--Gordon equation can be seen as representing a particle with mass m which is guided by a guiding wave $\phi(x)$ in a causal manner. Here a relevant question is whether Bohmian quantum mechanics is applicable to a non-linear Klein--Gordon equation? We examine this approach for $\phi_{4}(x)$ and sine-Gordon potentials. It turns out that this method leads to equations for quantum states which are identical to those derived by field theoretical methods used for quantum solitons. Moreover, the quantum force exerted on the particle can be determined. This method can be used for other non-linear potentials as well.

    • Author Affiliations

       

      FARAMARZ RAHMANI1 2 MEHDI GOLSHANI2 3 MOHSEN SARBISHEI1

      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

       
      Published
      15 August 2016
      Manuscript received
      20 March 2015
      Manuscript revised
      14 October 2015
      Accepted
      18 November 2015
      Final version published online
      13 July 2016

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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