• Symmetry groups of mathematical physics

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      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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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