Suggestions in Courses

See all course results

Suggestions in News

  • No suggestions found.

Suggestions in Events

See all events results
London Met Website

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions

Tools
Lists

Kassotakis, Pavlos, Kouloukas, Theodoros E. and Nieszporski, Maciej (2025) Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions. Nuclear Physics B, 1012 (116824). pp. 1-20. ISSN 0550-3213

Abstract

We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the ℤ2 graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.

Documents
10093:51417
[thumbnail of 1-s2.0-S0550321325000343-main.pdf]
Preview
1-s2.0-S0550321325000343-main.pdf - Published Version
Available under License Creative Commons Attribution 4.0.

Download (1MB) | Preview
Details
Title:
Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
Creators:
Kassotakis, Pavlos, Kouloukas, Theodoros E. and Nieszporski, Maciej
Identification Number:
10.1016/j.nuclphysb.2025.116824
Official URL:
https://doi.org/10.1016/j.nuclphysb.2025.116824
Date:
10 February 2025
Subjects:
500 Natural Sciences and Mathematics
500 Natural Sciences and Mathematics > 510 Mathematics
Department:
School of Computing and Digital Media
Publisher:
Elsevier
Uncontrolled Keywords:
Elastic collisions, Yang-Baxter maps, Non-abelian difference systems, Nonlinear alpha-models, Discrete analytic functions
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/10093
Item Type:
Article
Depositing User:
Theodoros Kouloukas
Date Deposited:
17 Feb 2025 16:34
Revision:
19
Last Modified:
17 Feb 2025 16:34
View Item View Item
Altmetric
CORE (COnnecting REpositories)