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

الموضوعات : Journal of Theoretical and Applied Physics

Pouria Pedram ¹ (Department of Physics, Science and Research Branch, Islamic Azad University)
Mahdi Mirzaei ² (Department of Physics, Shahid Beheshti University)
Siamak S Gousheh ³ (Department of Physics, Shahid Beheshti University)

تاريخ الإصدار : 28 الأحد , محرم, 1435

الکلمات المفتاحية: Schrödinger equation, Anharmonic oscillator, Finite basis method, Variational scheme,

ملخص المقالة :

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.