Integrity Research Journals

ISSN: 2756-6684
Model: Open Access/Peer Reviewed
DOI: 10.31248/AJPS
Start Year: 2018

Non-degenerate fourth order perturbation theory   |   Article Number: 538B15B51   |   Vol.2 (2) - June 2020

Received Date: 07 October 2019   |   Accepted Date: 19 November 2019  |   Published Date: 30 June 2020

Authors:  Gilbert A. Ibitola* , Olanrewaju Ajanaku and Abiola O. Ilori

Keywords: Energy states, first-order, fourth-order, Hamiltonian, perturbation, perturbation-free, perturbed, second–order, third-order, unperturbed state, wave function.

There exist several forms of perturbation theory in Quantum Mechanics, namely: non-degenerate perturbation theory, degenerate perturbation theory, time-dependent perturbation theory, time-constant perturbation theory and time-harmonic perturbation theory. This paper presents an extension of the perturbation theory for non-degenerate states.  It has been observed that most texts and journal papers treat only the first –order and second-order non-degenerate perturbation theory.  Therefore, this paper attempts to treat and present the third order and fourth order non-degenerate perturbation theory in quantum mechanics. It can thus be asserted that the higher the order of perturbations of quantum systems that we know, the more successful will be our efforts in suppressing or eliminating them.

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