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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/026/06/0489-0497

    • Keywords

       

      Physical vacuum states; linearized Klein Gordon equation; linearized Einstein’s relativistic equation; symplectic operator

    • Abstract

       

      The scattering theory for the Klein Gordon equation, with time-dependent potential and in a non-static space-time, is considered. Using the Klein Gordon equation formulated in the Hubert spaceL2(R3) and the Einstein’s relativistic equation in the spaceL2(R3, dx) and establishing the equivalence of the vacuum states of their linearized forms in the Hubert spaceL2(R3) with the help of unique symmetric symplectic operator, the time evolution unitary operatorU(t) has been fixed for the Klein Gordon equation, incorporating either the positive or negative frequencies, in the infinite dimensional Hubert spaceL2(R3).

    • Author Affiliations

       

      T S Balasubranian1 Sunil kr Bhatia1

      1. Department of Mathematics, Banaras Hindu University, Varanasi - 221005, India

    • Dates

       
      Published
      June 1986
      Manuscript received
      31 December 1985
      Manuscript revised
      14 March 1986

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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