1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 4
    5. Issue 2

    • Residue-squaring iterative diagonalization method for perturbation problems

      P M Mathews

      Nuclear And Particle Physics Volume 4 Issue 2 February 1975 pp 53-54

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       
      Published
      February 1975
      Manuscript received
      6 December 1974

  • 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.

Contact | Site index