<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case. </p></abstract>

We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case.

Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation

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.

We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator...

Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation

Published Online: Dec 30, 2015

Page range: 7 - 13

Received: Oct 15, 2015

Accepted: Nov 16, 2015

DOI: https://doi.org/10.1515/awutp-2015-0202

Keywords
Quantum mechanics, Gaussian potential, perturbation theory, Energy levels

© 2016

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

Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation

Published Online: Dec 30, 2015

Page range: 7 - 13

Received: Oct 15, 2015

Accepted: Nov 16, 2015

DOI: https://doi.org/10.1515/awutp-2015-0202

KeywordsQuantum mechanics, Gaussian potential, perturbation theory, Energy levels

© 2016

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

Keywords
Quantum mechanics, Gaussian potential, perturbation theory, Energy levels