A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials

The Schrödinger equation with pseudo-Gaussian potential is investigated. The pseudo-Gaussian potential can be written as an infinite power series. Technically, by an ansatz to the wave-functions, exact solutions can be found by analytic approach [12]. However, to calculate the solutions for each sta...

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Bibliographic Details
Main Authors: Iacob Theodor-Felix, Lute Marina, Iacob Felix
Format: Article
Language:English
Published: Sciendo 2015-12-01
Series:Annals of West University of Timisoara: Physics
Subjects:
Online Access:https://doi.org/10.1515/awutp-2015-0201
Description
Summary:The Schrödinger equation with pseudo-Gaussian potential is investigated. The pseudo-Gaussian potential can be written as an infinite power series. Technically, by an ansatz to the wave-functions, exact solutions can be found by analytic approach [12]. However, to calculate the solutions for each state, a condition that will stop the series has to be introduced. In this way the calculated energy values may suffer modifications by imposing the convergence of series. Our presentation, based on numerical methods, is to compare the results with those obtained in the analytic case and to determine if the results are stable under different stopping conditions.
ISSN:1224-9718