Numerical Simulation and 3D Visualization of Hydrogen Atom Orbitals using Monte Carlo Methods - (2)

Welcome to our project presentation for EEE 212: Numerical Technique Sessional (Section B1, Group-5). The video is split into 2 parts. This is the 2nd part. 📖 Project Overview: This project models, analyzes, and visualizes hydrogen atom quantum probability density clouds (|ψ|²) from first principles using custom MATLAB algorithms. Key Features: • Monte Carlo Rejection Sampling: Generates accurate 3D point-cloud spatial distributions for arbitrary quantum states (n, l, m). • 3D Azimuthal Wedge Slicing (ϕ_cut): Interactively slices probability clouds to reveal internal sub-shell structures and radial nodes. • Automated Node Detection & Expectation Verification: Computes expectation values E(r) and detects radial nodes with live error benchmarking against exact analytical limits. • Interactive App Designer GUI: Combines parameter controls, dynamic slicing tools, 3D radial surface viewers, and statistical convergence plots into a single interactive interface. 👥 Presented By (Group-5): 1. Ahmed Al-Borat (2406066) 2. Arif Shakil (2406073) 3. Abir Mahmud (2406075) 4. Kazi Mohammad Arif Billah (2406085) Department of Electrical and Electronic Engineering (EEE) Bangladesh University of Engineering and Technology (BUET) Any feedback or questions are welcome in the comments below. Thanks for watching!