TY - EJOUR PY - 2023 DA - November TI - Optimized basis expansion as an extremely accurate technique for solving time-independent Schrödinger equation T2 - Journal of Theoretical and Applied Physics VL - 7 L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/optimized-basis-expansion-as-an-extremely-accurate-technique-for-solving-time-independent-schrodinger-equation/ DO - 10.1186/2251-7235-7-34 N2 - 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.     IS - 1 PB - OICC Press KW - Schrödinger equation, Anharmonic oscillator, Finite basis method, Variational scheme EN -