Development and refinement of the Variational Method based on Polynomial Solutions of Schrödinger Equation

Open Engineering

Maiz Fethi¹ 

[1] King Khalid University, Faculty of Science, Physics Department P.O. Box 9004, Abha, Saudi Arabia;

关键词: variational methods;    anharmonic oscillator;    energy eigenvalues;    polynomial solutions;    schrödinger equation;   

DOI  :  10.1515/eng-2020-0052

来源: DOAJ

【 摘 要 】

The variational method is known as a powerful and preferred technique to find both analytical and numerical solutions for numerous forms of anharmonic oscillator potentials. In the present study, we considered certain conditions for the choice of the trial wave function. The current form of the trial wave function is based on the possible polynomial solutions of the Schrödinger equation. The advantage of our modified variational method is its ability to reduce the calculation steps and hence computation time. Also, we compared the results provided by our modified method with the results obtained by different methods in general but particularly Numerov method for the same problem.

【 授权许可】

Unknown