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Completeness of the Bethe ansatz on Weyl alcoves
Bethe ansatz root systems spectral analysis reflection groups
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2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
Functional Bethe ansatz methods for the open XXX chain
Functional Bethe ansatz methods open XXX chain
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2010/12/15
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional eq...