Sequential Bethe vectors and the quantum Ernst system.

DOI10.1023/A:1022881528752zbMATH Open1046.82006arXivmath-ph/0008016OpenAlexW1542523799MaRDI QIDQ1877426

H. Samtleben, Max Niedermaier

Publication date: 7 September 2004

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Abstract: We give a brief review on the use of Bethe ansatz techniques to construct solutions of recursive functional equations which emerged in a bootstrap approach to the quantum Ernst system. The construction involves two particular limits of a rational Bethe ansatz system with complex inhomogeneities. First, we pinch two insertions to the critical value. This links Bethe systems with different number of insertions and leads to the concept of sequential Bethe vectors. Second, we study the semiclassical limit of the system in which the scale parameter of the insertions tends to infinity.

Full work available at URL: https://arxiv.org/abs/math-ph/0008016

zbMATH Keywords

symmetrizationdiagonalizationquantum Ernst systemrational Bethe ansatz system

Mathematics Subject Classification ID

Proceedings, conferences, collections, etc. pertaining to quantum theory (81-06) Exactly solvable models; Bethe ansatz (82B23)

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