Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | anglais |
| Publié: |
Zenodo
2025
|
| Sujets: | |
| Accès en ligne: | https://doi.org/10.5281/zenodo.17509040 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
Table des matières:
- <p>This study presents a numerical investigation of a one-dimensional quantum mechanical system using finite-difference methods. The work focuses on solving the time-independent Schrödinger equation for a custom-defined potential, exploring the dependence of eigenvalues on system parameters such as λ and the domain length L. The computational approach was implemented in Python, with the model reformulated into a matrix eigenvalue problem after de-dimensionalization. Results include analyses of how λ affects the shape of the eigenfunctions and the energy level spacing ΔE as a function of L. This paper demonstrates the effectiveness of numerical methods in visualizing and interpreting bound-state solutions in nontrivial potentials, supported by pseudocode and graphical results.</p>