Uncertainty of Helium Ion Momentum (𝑯𝒆+) by Using the Heisenberg Uncertainty Approach on Quantum Numbers 𝒏 ≤ 𝟑
Year: 2024
Type: article
Abstract: This study aims to find the uncertainty value of Helium Ion Momentum (𝐻𝑒+) by using the Heisenberg Uncertainty Approach to Quantum Numbers 𝑛 ≤ 3. This type of research uses non-experimental research. The research was conducted by developing previously existing theories. This research is to calculate the expectation value of the position to find out how often electrons can appear, and determine the uncertainty of the momentum of Helium Ion (𝐻𝑒+) by using the Heisenberg uncertainty approach at number 𝑛 ≤ 3. Based on the results and discussion, it can be concluded that the uncertainty of helium ion momentum (𝐻𝑒+) by using the Heisenberg uncertainty approach to quantum numbers 𝑛 ≤ 3. The uncertainty of helium ion momentum is influenced by the main quantum number (n) and the azimuthal quantum number (l). By entering the values of n and l, the results can be obtained at quantum numbers 𝑛 = 1 with 𝑙 = 0 obtained ∆𝑃𝑟 = 2,977504663 × 10−24. At the quantum number 𝑛 = 2 with 𝑙 = 0 obtained ∆𝑃𝑟 = 8,06312759 × 10−24 and 𝑙 = 1 obtained ∆𝑃𝑟 = 2,03048 × 10−23. At the quantum number 𝑛 = 3 with 𝑙 = 0 obtained ∆𝑃𝑟 = 1,50366086 × 10−23, and 𝑙 = 1 obtained ∆𝑃𝑟 = 3,481407588 × 10−23 and 𝑙 = 2 obtained ∆𝑃𝑟 = 4,47363642 × 10−22. Based on these results, it can be concluded that the uncertainty value of momentum is getting bigger as the two values of n and l increase. This is also proven by using simulation and the results of momentum uncertainty are not much different and only a difference of a few decimal places.
Authors: Zidan Afidah, Bambang Supriadi, Novi Rahmawati, Wanda Febrianty, Niken Noviana Mahmudyah, Hanif Al Amri
Institution: Universitas Jember
Language: English
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402055470
