%0 Journal Article %1 saad_naji_abood_2022_6334023 %A Abood, Saad Naji %A Abdulzahra, Narjis Zamil %D 2022 %J Global Journal of Engineering and Technology Advances %K Equation Schrödinger %N 2 %P 043-059 %R 10.30574/gjeta.2022.10.2.0033 %T Numerical and perturbation solutions for the gauss potential %U https://gjeta.com/content/numerical-and-perturbation-solutions-gauss-potential %V 10 %X We will focus on the Schrodinger eigenvalue problem for a Gauss potential in this study. When high and relatively large values of the coupling constant g2 are involved, we will compare eigenvalues E determined numerically with those obtained using the asymptotic series. However, we were interested in the mathematical elements of this comparison throughout the course of this work and explored it for considerably larger, albeit no longer physically plausible, values of g2. Even for power potentials where the Gaussian is a common example, Muller's perturbation method shows some fascinating mathematical characteristics of the Schrodinger equation. The solution's overall analytic features are very similar to well-known periodic differential equations like the Mathieu equation.

@article{saad_naji_abood_2022_6334023, abstract = {We will focus on the Schrodinger eigenvalue problem for a Gauss potential in this study. When high and relatively large values of the coupling constant g2 are involved, we will compare eigenvalues E determined numerically with those obtained using the asymptotic series. However, we were interested in the mathematical elements of this comparison throughout the course of this work and explored it for considerably larger, albeit no longer physically plausible, values of g2. Even for power potentials where the Gaussian is a common example, Muller's perturbation method shows some fascinating mathematical characteristics of the Schrodinger equation. The solution's overall analytic features are very similar to well-known periodic differential equations like the Mathieu equation.}, added-at = {2022-03-07T10:47:39.000+0100}, author = {Abood, Saad Naji and Abdulzahra, Narjis Zamil}, biburl = {https://www.bibsonomy.org/bibtex/23569f666a956c768ce3f25b0e82b8478/gjetajournal}, doi = {10.30574/gjeta.2022.10.2.0033}, interhash = {1ecd84b78f9592ec633585a9e9e31609}, intrahash = {3569f666a956c768ce3f25b0e82b8478}, issn = {2582-5003}, journal = {{Global Journal of Engineering and Technology Advances}}, keywords = {Equation Schrödinger}, month = feb, number = 2, pages = {043-059}, timestamp = {2022-03-07T10:47:39.000+0100}, title = {Numerical and perturbation solutions for the gauss potential}, url = {https://gjeta.com/content/numerical-and-perturbation-solutions-gauss-potential}, volume = 10, year = 2022 }