Bethe vectors for XXX-spin chain

22nd International Conference on Integrable Systems and Quantum Symmetries

Burdík, estmír^1 ; Fuksa, Jan^1,2 ; Isaev, Alexei^2

Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague

120 00, Czech Republic^1

Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie 6, Moscow region, Dubna

141980, Russia^2

关键词: Bethe ansatz;    Component model;    Explicit form;    Spin chains;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012011/pdf
DOI  :  10.1088/1742-6596/563/1/012011

来源: IOP

【 摘 要 】

The paper deals with algebraic Bethe ansatz for XXX-spin chain. Generators of Yang-Baxter algebra are expressed in basis of free fermions and used to calculate explicit form of Bethe vectors. Their relation to N-component models is used to prove conjecture about their form in general. Some remarks on inhomogeneous XXX-spin chain are included.