Feynman Diagram Calculator for Condensed Matter Theory

A sophisticated Python package for calculating Feynman diagrams in condensed matter theory, with special focus on Migdal's theorem vertices and electron-phonon interactions.

Features

• Calculation of Feynman diagrams up to arbitrary order
• Implementation of Migdal's theorem vertices
• Support for electron-phonon interactions
• Visualization of Feynman diagrams
• Numerical integration of diagrammatic expressions
• Symbolic manipulation of Green's functions

Installation

git clone https://github.com/BekturMur/Feynman.git
cd Feynman
pip install -e .

Dependencies

• Python 3.8+
• NumPy
• SciPy
• SymPy
• Matplotlib
• NetworkX
• Jupyter Notebook (for examples)

Usage

from feynman import Diagram, MigdalVertex, GreenFunction

# Create a basic electron-phonon vertex
vertex = MigdalVertex()
diagram = Diagram(vertex)

# Calculate the self-energy
self_energy = diagram.calculate_self_energy()

# Visualize the diagram
diagram.plot()

Documentation

Detailed documentation is available in the docs directory.

Contributing

Contributions are welcome! Please read our contributing guidelines before submitting pull requests.

License

This project is licensed under the MIT License - see the LICENSE file for details.

Citation

If you use this software in your research, please cite:

@software{feynman_calculator,
  author = {Bektur Mur},
  title = {Feynman Diagram Calculator for Condensed Matter Theory},
  year = {2024},
  publisher = {GitHub},
  url = {https://github.com/BekturMur/Feynman}
}