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- W2082735873 abstract "For the one-dimensional XXX model under the periodic boundary conditions, we discuss two types of eigenvectors, regular eigenvectors which have finite-valued rapidities satisfying the Bethe ansatz equations and non-regular eigenvectors which are descendants of some regular eigenvectors under the action of the SU(2) spin-lowering operator. It has been pointed out by many authors that the non-regular eigenvectors should correspond to the Bethe ansatz wavefunctions which have multiple infinite rapidities. However, it has not been explicitly shown whether such a delicate limiting procedure is possible. In this paper, we discuss it explicitly at the level of wavefunctions: we prove that any non-regular eigenvector of the XXX model is derived from the Bethe ansatz wavefunctions through some limit of infinite rapidities. We formulate the regularization also in terms of the algebraic Bethe ansatz method. As an application of infinite rapidity, we discuss the period of the spectral flow under the twisted periodic boundary conditions." @default.
- W2082735873 created "2016-06-24" @default.
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- W2082735873 date "2001-11-13" @default.
- W2082735873 modified "2023-09-27" @default.
- W2082735873 title "Non-regular eigenstate of theXXXmodel as some limit of the Bethe state" @default.
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- W2082735873 doi "https://doi.org/10.1088/0305-4470/34/46/301" @default.
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