Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
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 ca...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000343 |
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| _version_ | 1823856877264437248 |
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| author | Pavlos Kassotakis Theodoros Kouloukas Maciej Nieszporski |
| author_facet | Pavlos Kassotakis Theodoros Kouloukas Maciej Nieszporski |
| author_sort | Pavlos Kassotakis |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-09673550db474b469835d5ba0f73554c |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-09673550db474b469835d5ba0f73554c2025-02-12T05:30:30ZengElsevierNuclear Physics B0550-32132025-03-011012116824Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functionsPavlos Kassotakis0Theodoros Kouloukas1Maciej Nieszporski2Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland; Corresponding author.School of Computing and Digital Media, London Metropolitan University, 166-220 Holloway Rd, London N7 8DB, UKDepartment of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, PolandWe 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.http://www.sciencedirect.com/science/article/pii/S0550321325000343Elastic collisionsYang-Baxter mapsNon-abelian difference systemsNonlinear σ-modelsDiscrete analytic functions |
| spellingShingle | Pavlos Kassotakis Theodoros Kouloukas Maciej Nieszporski Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions Nuclear Physics B Elastic collisions Yang-Baxter maps Non-abelian difference systems Nonlinear σ-models Discrete analytic functions |
| title | Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions |
| title_full | Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions |
| title_fullStr | Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions |
| title_full_unstemmed | Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions |
| title_short | Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions |
| title_sort | non abelian elastic collisions associated difference systems of equations and discrete analytic functions |
| topic | Elastic collisions Yang-Baxter maps Non-abelian difference systems Nonlinear σ-models Discrete analytic functions |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000343 |
| work_keys_str_mv | AT pavloskassotakis nonabelianelasticcollisionsassociateddifferencesystemsofequationsanddiscreteanalyticfunctions AT theodoroskouloukas nonabelianelasticcollisionsassociateddifferencesystemsofequationsanddiscreteanalyticfunctions AT maciejnieszporski nonabelianelasticcollisionsassociateddifferencesystemsofequationsanddiscreteanalyticfunctions |