Analysis of the Case of a 1-D Potential Barrier When the Energy of the Incident Particle Beam is Equal to the Potential of the System

DOI

10.2991/978-2-38476-390-0_42How to use a DOI?

Keywords

1-dimensional potential barrier; Reflection coefficient; Transmission coefficient

Abstract

In this paper, the results of the analysis of the 1-dimensional potential barrier case are presented when the energy of the incident beam is equal to the potential of the system ( E = V 0 ) . The analysis was carried out using a computational simulation based on Python programming by reviewing the values of the reflection and transmission coefficients and their influence on the amplitude of the wave function. As an example case for simulation, the potential value of the system V 0 = 60 × 10 - 39 J is taken. First, an approach is made when the system energy E approaches the potential V 0 from below ( E ≲ V 0 ), then an approach is made when the system energy E approaches the potential V 0 from above ( E ≳ V 0 ). From these two approaches, the result is that for both the E ≲ V 0 and E ≳ V 0 cases, the graph shape is almost the same with slightly different amplitudes. The amplitude for the system with E = 61 × 10 - 39 J is larger than for the system E = 59 × 10 - 39 J. An important event is that when the energy of the incident beam is equal to the potential of the system ( E = V 0 ), the reflection and transmission coefficient values are undefined so that no amplitude appears in the visualization of the programming results. Thus, it is impossible to obtain information about the particle beam in the potential region V 0 .

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Akhmad Aminuddin Bama
AU  - Supardi
AU  - Simon Rafael Sihombing
AU  - Abdul Azis Saputra
AU  - Ramlan
AU  - Hadi
PY  - 2025
DA  - 2025/05/14
TI  - Analysis of the Case of a 1-D Potential Barrier When the Energy of the Incident Particle Beam is Equal to the Potential of the System
BT  - Proceedings of the 6th Sriwijaya University Learning and Education International Conference 2024 (SULE-IC 2024)
PB  - Atlantis Press
SP  - 504
EP  - 519
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-390-0_42
DO  - 10.2991/978-2-38476-390-0_42
ID  - Bama2025
ER  -