Pratama, FendaRizky (2016) Analysis And Simulation Of Schrődinger Eigenfunctions Of Several Potentials With Numerov Method. Sarjana thesis, Universitas Brawijaya.
Abstract
The eigenfunctions as the solutions of Schrödinger equation for particle in the box, simple harmonic and perturbed oscillators, as well as in the case of Coloumb, linear, Morse, Yukawa, and modified Woods-Saxon potentials are simulated with fourth-order Numerov algorithm. The simulation techniques for initialization, which is aimed to acquire qualitative behaviour of eigenfunctions are derived by solving Schrödinger equation in particular region directly or by WKB approximation and Bohr-Sommerfeld quatization rule. The simulated eigenfunctions possess good accuracy, with maximum relative error in the order 10─3 compared to the analytical eigenfunctions or are in the good agreements with the analytical eigenfunctions calculated in the previous works. This work also provides some illustrations of how approximation methods are able to improve the accuracy in computational simulations.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2016/332/ 051610494 |
| Subjects: | 500 Natural sciences and mathematics > 530 Physics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Fisika |
| Depositing User: | Kustati |
| Date Deposited: | 25 Oct 2016 14:26 |
| Last Modified: | 25 Oct 2016 14:26 |
| URI: | http://repository.ub.ac.id/id/eprint/154856 |
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