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

Abstract

We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger 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.

11 pages, 4 figures

References in corpus (4)

• Higher-Order Corrections to Instantons
• Using Spectral Method as an Approximation for Solving Hyperbolic PDEs
• Exact solutions of a particle in a box with a delta function potential: The factorization method
• Anharmonic oscillator and the optimized basis expansion

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