A Maple package for combinatorial aspects of Bethe Ansatz

Published: 07-01-2021| Version 1 | DOI: 10.17632/hkzw252dd5.1
Paweł Jakubczyk,
Andrzej Wal,
Michał Kaczor,
Dorota Jakubczyk,
Mirosław Łabuz,
Jan Milewski


ComBethAns is a Maple module developed to enable calculations concerning spin systems using combinatorial Bethe Ansatz approach. This method of spin system analysis is based on representation theory and combinatorics. It allows to consider one-dimensional spin systems with periodic boundary conditions. The module ComBethAns offers tools to define the different bases for such quantum system, to carry out transformation between these bases and to reveal some important aspects of the quantum system. Particularly powerful features are the possibility to generate the Schur–Weyl transform and to quasi-diagonalize the Hamiltonian using projection method.