Lie algebra in quantum physics by means of computer algebra

Preprint English OPEN
Kikuchi, Ichio; Kikuchi, Akihito;
(2017)
  • Subject: Mathematics - Rings and Algebras | High Energy Physics - Theory | Physics - Computational Physics

This article explains how to apply the computer algebra package GAP (www.gap-system.org) in the computation of the problems in quantum physics, in which the application of Lie algebra is necessary. The article contains several exemplary computations which readers would ... View more
  • References (4)

    [1] Akihito Kikuchi, \Computational Algebra and Material Design", arXiv:1612.02275, 2016.

    [2] \GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra", http://www.gap-system.org/.

    [3] Nathan Jacobson,\Lie Algebras", Dover Books on mathematics.

    [4] James E. Humphreys,\Introduction to Lie Algebras and Representation Theory", Springer-Verlag, 1980.

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