<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

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

West University of Timişoara 300223 V. Pârvan Ave 4, Timişoara, Romania

Politehnica University of Timişoara, 300223 Traian Lalescu 2, Timişoara Romania

Annals of West University of Timisoara - Physics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The Schrödinger equation with pseudo-Gaussian potential is investigated. The pseudo-Gaussian potential can be written as an infinite power series. Technically,...

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

Published Online: Dec 30, 2015

Page range: 1 - 6

Received: Oct 12, 2015

Accepted: Nov 16, 2015

DOI: https://doi.org/10.1515/awutp-2015-0201

Keywords
Quantum mechanics, Gaussian potential, numerical methods, Energy levels

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Dec 30, 2015

Page range: 1 - 6

Received: Oct 12, 2015

Accepted: Nov 16, 2015

DOI: https://doi.org/10.1515/awutp-2015-0201

KeywordsQuantum mechanics, Gaussian potential, numerical methods, Energy levels

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Quantum mechanics, Gaussian potential, numerical methods, Energy levels