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    • Symmetry groups of mathematical physics

      P Rudra

      Mathematical Physics Volume 23 Issue 4 October 1984 pp 445-457

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/023/04/0445-0457

    • Keywords

       

      Mathematical physics; symmetry groups; differential equations; Lie groups; harmonic oscillator; wave equation; Klein-Gordon equation; Weyl equation; Dirac equation

    • Abstract

       

      Recent work on Lie’s method of extended groups to obtain symmetry groups and invariants of differential equations of mathematical physics is surveyed. As an essentially new contribution one-parameter Lie groups admitted by three-dimensional harmonic oscillator, three-dimensional wave equation, Klein-Gordon equation, two-component Weyl’s equation for neutrino and four-component Dirac equation for Fermions are obtained.

    • Author Affiliations

       

      P Rudra1

      1. Department of Physics, University of Kalyani, Kalyani - 741 235, India

    • Dates

       
      Published
      October 1984

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