Optimized basis expansion as an extremely accurate technique for solving time-independent Schrödinger equation

Authors

Abstract

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.

Keywords

• Finite basis method
• Variational scheme
• Schrödinger equation
• Anharmonic oscillator