amc 0.9.5

Installation

Install amc using the pip package manager.

pip install amc

Usage

Prepare a file with the properties of the tensors and the equations to reduce. For example, second-order many-body perturbation theory can be reduced in this way:

# mbpt.amc

declare E2 {
    mode=0,
    latex="E^{(2)}_{0}",
}

# Hamiltonian
declare H {
    mode=4,
    latex="H",
}

E2 = 1/4 * sum_abij(H_abij * H_ijab);

Then run the amc program on the input

amc -o mbpt.tex mbpt.amc

The result is

E^{(2)}_{0} = \frac{1}{4} \sum_{a b i j {J}_{0}} \hat{J}_{0}^{2}
H_{a b i j}^{{J}_{0} {J}_{0} 0} H_{i j a b}^{{J}_{0} {J}_{0} 0}

See the User’s Guide for details.

Citing

Releases of this code are deposited to the Zenodo repository. If you use it in research work please cite the version used. Go to the Zenodo record to find bibliographic information for each release.

If you use this code in research work please also cite the following publication

A. Tichai, R. Wirth, J. Ripoche, T. Duguet. Symmetry reduction of tensor networks in many-body theory I. Automated symbolic evaluation of SU(2) algebra. arXiv:2002.05011 [nucl-th]

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

License

GPLv3