Singularities of Bethe Ansatz via Robinson Numbers

Andrzej Koper; Piotr Krasoń; Jan Milewski

doi:10.12693/APhysPolA.133.438

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Title

Singularities of Bethe Ansatz via Robinson Numbers

Authors

Andrzej Koper
Piotr Krasoń
Jan Milewski (WE) ^{[ 1 ][ 7.7 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[7.7] Physical sciences

Year of publication

2018

Published in

Acta Physica Polonica A

Journal year: 2018 | Journal volume: vol. 133 | Journal number: no. 3

Article type

scientific article

Publication language

english

Abstract

EN In this work we suggest a rigorous mathematical approach for explanation of singular solutions of Bethe Ansatz by means of Robinson complex hypernumbers. There are several approaches towards these singular solutions eg. formal infinitesimals or germs of meromorphic functions. Our aim is to make them precise using non-standard analysis and show that they are essentially equivalent.

Pages (from - to)

438 - 440

DOI

10.12693/APhysPolA.133.438

URL

http://przyrbwn.icm.edu.pl/APP/PDF/133/app133z3p031.pdf

Presented on

European Conference Physics of Magnetism 2017, PM'17, 26-30.06.2017, Poznań, Poland

Open Access Mode

publisher's website

Open Access Text Version

final published version