New perturbation method with the matching of wave functions

摘要

We propose a new approach to the Rayleigh-Schrodinger perturbation expansions of bound states in quantum mechanics. We are inspired by the enormous flexibility of solvable interactions with several (N) discontinuities. Their standard matching solution is modified and transferred in perturbation regime. We employ the global renormalization freedom of the local wave functions and derive a compact N-dimensional matrix formula for corrections. In applications, our recipe is shown non-numerical for all polynomial perturbations of any piecewise constant zero-order potential. (C) 2000 John Wiley & Sons, Inc. Int J Quantum Chem 79: 235-242, 2000. [References: 13]