Residue-squaring iterative diagonalization method for perturbation problems
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.
Volume 96, 2022
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode