Open AccessNew decomposition method for the solutions of linear Schrödinger equation
Author(s) -
S.O. Edeki,
K. C. Onyemekara
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1734/1/012002
Subject(s) - adomian decomposition method , convergence (economics) , decomposition , telescoping series , decomposition method (queueing theory) , mathematics , nonlinear system , schrödinger equation , differential equation , mathematical analysis , physics , quantum mechanics , ecology , discrete mathematics , economics , biology , economic growth
The Schrödinger equation serves as the fundamental equation for quantum mechanics. In this article, we consider the theoretical and numerical solutions of Schrödinger’s linear equations. This is achieved using the new semi-analytical approach as an alternative to the classical Adomian Decomposition Method (ADM). The new method is referred to as Telescoping Decomposition Method. Some cases are considered; the results obtained display high level of convergence to their exact forms. The improved version is very useful and reliable; it requires less analytical effort, even without giving up precision. Thus, it is also highly recommended for the solution of related linear and nonlinear differential models in the fields of applied research.