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

محورهای موضوعی : Journal of Theoretical and Applied Physics

Pouria Pedram ¹ , Mahdi Mirzaei ² , Siamak S Gousheh ³

1 - Department of Physics, Science and Research Branch, Islamic Azad University
2 - Department of Physics, Shahid Beheshti University
3 - Department of Physics, Shahid Beheshti University

تاریخ پذیرش : 1392/09/10 تاریخ انتشار : 1392/09/10

کلید واژه: Schrödinger equation, Anharmonic oscillator, Finite basis method, Variational scheme,

چکیده مقاله :

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.