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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
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.
Received: 19.02.2015
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
Linking options:
https://www.mathnet.ru/eng/tmf8874https://doi.org/10.4213/tmf8874 https://www.mathnet.ru/eng/tmf/v183/i3/p409
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Abstract page: | 483 | Full-text PDF : | 164 | References: | 49 | First page: | 25 |
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