Quantum Particle in a Box Simulation using MATLAB

This project implements a MATLAB simulation of the **Quantum Particle in a One-Dimensional Box**, a fundamental problem in quantum mechanics. The model numerically computes and visualizes the particle's wave functions, probability density, and quantized energy levels based on the Schrödinger equation.

The project combines scientific computing with data visualization to provide an intuitive understanding of quantum behavior while maintaining computational accuracy.

**Key features:**

* MATLAB implementation of the Particle in a Box model

* Numerical calculation of quantized energy levels

* Visualization of wave functions and probability densities

* Interactive plots for different quantum states

* Clean, modular, and well-documented MATLAB code

* Suitable for quantum mechanics education and research

This project demonstrates my expertise in computational physics, numerical modeling, and MATLAB programming by transforming theoretical quantum mechanics into accurate computational simulations.