10.17632/HKZW252DD5.1
Jakubczyk, Paweł
Paweł
Jakubczyk
A Maple package for combinatorial aspects of Bethe Ansatz
Mendeley
2021
Dataset
Condensed Matter Physics
FOS: Physical sciences
FOS: Physical sciences
Computational Physics
Wal, Andrzej
Andrzej
Wal
Kaczor, Michał
Michał
Kaczor
Jakubczyk, Dorota
Dorota
Jakubczyk
Łabuz, Mirosław
Mirosław
Łabuz
Milewski, Jan
Jan
Milewski
2021-01-07
10.1016/j.cpc.2020.107720
10.17632/hkzw252dd5
MIT License
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.