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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 3, Pages 409–433
DOI: https://doi.org/10.4213/tmf8874 (Mi tmf8874) 		 
This article is cited in 8 scientific papers (total in 8 papers)

One-dimensional two-component Bose gas and the algebraic Bethe ansatz

N. A. Slavnov

Steklov Mathematical Institute of the~RAS, Moscow, Russia
Full-text PDF (617 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8874
Abstract: We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a $\delta$-function repulsive interaction. Using a lattice approximation of the $L$-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.
Keywords: Bethe ansatz, monodromy matrix, Bethe vector.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 19.02.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 3, Pages 800–821
DOI: https://doi.org/10.1007/s11232-015-0297-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz”, TMF, 183:3 (2015), 409–433; Theoret. and Math. Phys., 183:3 (2015), 800–821
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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