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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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:	quantum mechanics gaussian potential numerical methods energy levels
Online Access:	https://doi.org/10.1515/awutp-2015-0201

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record_format	Article
spelling	doaj-6e0a5113cb1449278734ede532c4a9d92021-09-06T19:40:24ZengSciendoAnnals of West University of Timisoara: Physics1224-97182015-12-015811610.1515/awutp-2015-0201awutp-2015-0201A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian PotentialsIacob Theodor-Felix0Lute Marina1Iacob Felix2West University of Timişoara 300223 V. Pârvan Ave 4, Timişoara, RomaniaPolitehnica University of Timişoara, 300223 Traian Lalescu 2, Timişoara RomaniaWest University of Timişoara 300223 V. Pârvan Ave 4, Timişoara, RomaniaThe 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.https://doi.org/10.1515/awutp-2015-0201quantum mechanicsgaussian potentialnumerical methodsenergy levels
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Iacob Theodor-Felix Lute Marina Iacob Felix
spellingShingle	Iacob Theodor-Felix Lute Marina Iacob Felix A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials Annals of West University of Timisoara: Physics quantum mechanics gaussian potential numerical methods energy levels
author_facet	Iacob Theodor-Felix Lute Marina Iacob Felix
author_sort	Iacob Theodor-Felix
title	A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials
title_short	A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials
title_full	A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials
title_fullStr	A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials
title_full_unstemmed	A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials
title_sort	numerical approach for the solution of schrödinger equation with pseudo-gaussian potentials
publisher	Sciendo
series	Annals of West University of Timisoara: Physics
issn	1224-9718
publishDate	2015-12-01
description	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.
topic	quantum mechanics gaussian potential numerical methods energy levels
url	https://doi.org/10.1515/awutp-2015-0201
work_keys_str_mv	AT iacobtheodorfelix anumericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials AT lutemarina anumericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials AT iacobfelix anumericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials AT iacobtheodorfelix numericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials AT lutemarina numericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials AT iacobfelix numericalapproachforthesolutionofschrodingerequationwithpseudogaussianpotentials
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A Numerical Approach for the Solution of Schrödinger Equation With Pseudo-Gaussian Potentials

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