Title of article :
Optimized basis expansion as an extremely accurate technique for solving time-independent Schrödinger equation
Author/Authors :
Pedram, Pouria Islamic Azad University, Science and Research Branch - Department of Physics, ايران , Mirzaei, Mahdi shahid beheshti university - Department of Physics, تهران, ايران , Gousheh, Siamak S shahid beheshti university - Department of Physics, تهران, ايران
Abstract :
We 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 :
Schrödinger equation , Anharmonic oscillator , Finite basis method , Variational scheme
Journal title :
Journal of Theoretical and Applied Physics
Journal title :
Journal of Theoretical and Applied Physics
