• Residue-squaring iterative diagonalization method for perturbation problems

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.