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)
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.