Abstract.
The exact solution for the two-particle spectrum of the Heisenberg-Peierls one-dimensional spin chain is given by working in the fermionic representation. The resulting equations for the eigenvalues are, in some sense, similar to those of the BCS model and must be solved numerically.
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Abad, J., Esteve, J. Exact Two-Particle Spectrum of the Heisenberg-Peierls Spin Chain. Few-Body Systems 37, 107–120 (2005). https://doi.org/10.1007/s00601-004-0071-1
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DOI: https://doi.org/10.1007/s00601-004-0071-1