ANALISIS DAN VISUALISASI PERSAMAAN KLEIN-GORDON PADA ELEKTRON DALAM SUMUR POTENSIAL DENGAN MENGGUNAKAN PROGRAM MATHEMATIC 10

Syahrul Humaidi; Tua Raja Simbolon; Russell Ong; Widya Nazri Afrida

doi:10.21009/0305020504

ANALISIS DAN VISUALISASI PERSAMAAN KLEIN-GORDON PADA ELEKTRON DALAM SUMUR POTENSIAL DENGAN MENGGUNAKAN PROGRAM MATHEMATIC 10

Authors

Syahrul Humaidi Prodi Fisika FMIPA USU, Jl. Bioteknologi No 1, Medan 20155
Tua Raja Simbolon Prodi Fisika FMIPA USU, Jl. Bioteknologi No 1, Medan 20155
Russell Ong Prodi Fisika FMIPA USU, Jl. Bioteknologi No 1, Medan 20155
Widya Nazri Afrida Prodi Fisika FMIPA USU, Jl. Bioteknologi No 1, Medan 20155

DOI:

https://doi.org/10.21009/0305020504

Abstract

SchrÃ¶dinger equation is a wave equation that describes the behaviour of an electron including determining its energy levels. However, when the motion of electrons was assumed as relativistic motion(vc), then the schrÃ¶dinger equation must be changed into Klein-Gordon equation(relativistic SchrÃ¶dinger equation). In order to compare both equations, we analyzed and visualized the Klein-Gordon equation for an electron in a potential well with Wolfram Mathematica 10 software. The visualization from Mathematica 10 gave the same wavefunction graphs and probability density graphs as the SchrÃ¶dinger equation. The difference is only in the visualization of energy levels graphs.

Keywords:Klein-Gordon equation, Mathematica 10, electron, energy levels.

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Published

2016-10-30

How to Cite

Humaidi, S., Simbolon, T. R., Ong, R., & Afrida, W. N. (2016). ANALISIS DAN VISUALISASI PERSAMAAN KLEIN-GORDON PADA ELEKTRON DALAM SUMUR POTENSIAL DENGAN MENGGUNAKAN PROGRAM MATHEMATIC 10. PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL), 5, SNF2016–TPN. https://doi.org/10.21009/0305020504