Quantum Harmonic Oscillator Visualization Tool

Overview

This Python application provides a dynamic and interactive visualization of the quantum harmonic oscillator, a fundamental concept in quantum mechanics. It enables users to explore the quantum states of a particle in a harmonic potential through graphical representations of wavefunctions and probability densities.

Features

• Wavefunction Visualization: Graphical representation of the probability density, real part, and imaginary part of the quantum harmonic oscillator's wavefunction.
• Interactive Quantum State Selector: An intuitive dropdown menu for selecting and exploring different quantum states (n).
• Dynamic Time Evolution: Adjustable speed slider to view the time-dependent changes in quantum states, animating the wavefunction in real-time.
• Real-time Feedback: Instantaneous updates in the plot as parameters like quantum number and time are adjusted.
• Scientific Accuracy: Utilizes accurate scientific constants and equations for realistic simulations.

System Requirements

To run this tool, you'll need:

• Python 3.x
• wxPython for GUI elements
• NumPy for numerical operations
• Matplotlib for plotting
• SciPy for scientific computations

Installation

Ensure Python 3.x is installed on your system. Then, install the necessary Python packages:

pip install -r requirements.txt

Running the Application

Run the Python script to launch the application, which will open a GUI displaying the oscillator visualization:

python QHO.py

Usage Guide

• Quantum State Selection: Select a quantum number (n) from the dropdown menu. The visualization updates to show the corresponding wavefunction.
• Control Time Evolution: Use the slider to adjust the speed of the wavefunction's time evolution.
• Wavefunction Analysis: The plot displays the probability density |�(x,t)|², real, and imaginary components of the wavefunction for comprehensive quantum state analysis.

Contributing

Contributions are welcome to enhance and expand the tool's capabilities. Feel free to fork the repository, make modifications, and submit pull requests with improvements.

License

This project is under the GNU Affero General Public License v3.

Acknowledgments

This tool is designed as an educational resource to aid in understanding quantum mechanics. It's intended for educational and research purposes.