A Python implementation of the Matrix Numerov method, a powerful numerical technique used to solve the Schrödinger equation and plot wavefunctions in quantum mechanics.

The Schrödinger equation is fundamental in quantum mechanics, and solving it can often be complex and time-consuming. The Matrix Numerov method optimizes this process, allowing for quick and efficient solutions with minimal code. By using a skilled mathematical approach, this implementation demonstrates how complex problems can be tackled in significantly less time and with fewer lines of code compared to traditional methods.

• Efficient Calculation: The Matrix Numerov method reduces computational time while maintaining accuracy.
• Compact Code: The implementation is designed to be short and understandable, emphasizing clarity and efficiency.
• Wavefunction Visualization: The results can be easily visualized to understand the behavior of quantum states.

Make sure you have Python installed on your machine. You may also need to install the following packages:

pip install numpy matplotlib

Clone the repository:

git clone https://github.com/yourusername/matrix-numerov-python.git
cd matrix-numerov-python

Run the main script:

python numerov.py

Adjust parameters in the script to explore different potentials and boundary conditions.

This project is licensed under the MIT License. See the LICENSE file for more details

More details are provided in the attached file Project Report.pdf