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Residue-squaring iterative diagonalization method for perturbation problems

  • Nuclear And Particle Physics
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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.

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  1. Department of Theoretical Physics, University of Madras, 600025, Madras

    P M Mathews

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  1. P M Mathews
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Mathews, P.M. Residue-squaring iterative diagonalization method for perturbation problems. Pramana - J. Phys 4, 53–54 (1975). https://doi.org/10.1007/BF02848035

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  • DOI: https://doi.org/10.1007/BF02848035

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