Modelling the Tunneling in 1D Schrodinger Equation Using Graphical User Interface



Alpi Mahisha Nugraha(1*), Nurullaeli Nurullaeli(2),

(1) Program Studi Teknik Informatika,Fakultas Teknik dan Ilmu Komputer, Universitas Indraprasta PGRI Jakarta
(2) Program Studi Teknik Informatika,Fakultas Teknik dan Ilmu Komputer, Universitas Indraprasta PGRI Jakarta
(*) Corresponding Author

Abstract


Quantum tunneling is a phenomenon where particles have a probability of penetrating a potential barrier despite having total energy llower than the barrier height. This study analyzes the tunneling effect by solving the one-dimensional (1D) Schrodinger equation using the finite difference method to obtain the wave function evolution for various potential barrier configurations. The solution is implemented in a Graphical User Interface (GUI) MATLAB to facilitate analysis and visualization, allowing users to interactively adjust potential parameters, energy, and other conditions. Simualation results demonstratehow transmission probability depends on energy, height and width of potential barrier. This GUI provides an intiuitive tool for exploring quantun tunneling, making it valuable for both education and research in quantum physics.


Keywords


nneling effect, Schrodinger Equations, GUI

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DOI: https://doi.org/10.30998/npjpe.v7i1.3952

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