• Residue-squaring iterative diagonalization method for perturbation problems

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      https://www.ias.ac.in/article/fulltext/pram/004/02/0053-0054

    • Keywords

       

      Perturbation theory; residue-squaring

    • Abstract

       

      We present a new method for the evaluation of the change in eigenvalues due to a perturbation of strength λ. It is a fast converging iterative method which, at thenth step, gives results accurate to order (2n+1−1) in λ. Unlike the Rayleigh-Schrödinger perturbation theory in quantum mechanics, which becomes prohibitively cumbersome when carried to higher orders, the present method involves a routine which remains stralghtforward at all stages.

    • Author Affiliations

       

      P M Mathews1

      1. Department of Theoretical Physics, University of Madras, Madras - 600025
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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