@article{Optimized basis expansion as an extremely accurate technique for solving time-independent Schrödinger equation_2023, volume={7}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/optimized-basis-expansion-as-an-extremely-accurate-technique-for-solving-time-independent-schrodinger-equation/}, DOI={10.1186/2251-7235-7-34}, abstractNote={AbstractWe use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrödinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions.    }, number={1}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, year={2023}, month={Nov.}, keywords={Schrödinger equation, Anharmonic oscillator, Finite basis method, Variational scheme} }