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    • On the invariance properties of the Klein-Gordon equation with external electromagnetic field

      N D Sen Gupta

      Volume 61 Issue 3 September 2003 pp 483-491

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/061/03/0483-0491

    • Keywords

       

      Klein-Gordon equation; Lie analysis; prolongation group; Poincaré group

    • Abstract

       

      Here we attempt to find the nature of the external electromagnetic field such that the KG equation with external electromagnetic field is invariant. Lie’s extended group method is applied to obtain the class of external electromagnetic field which admits the invariance of the KG equation. Though, the field potential only explicitly appears in the equation, the constraints for the invariance are only on the electromagnetic field.

    • Author Affiliations

       

      N D Sen Gupta1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India

    • Dates

       
      Published
      September 2003
      Manuscript received
      6 January 2003
      Manuscript revised
      1 April 2003

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