The Bethe Ansatz

The Richardson model i.z.g.r

\[ H_{Rich} = \sum_{\alpha,\sigma} \frac{\varepsilon_{\alpha}}{2} c^{\dagger}_{\alpha,\sigma} c_{\alpha,\sigma} - g \sum_{\alpha,\beta} c^{\dagger}_{\alpha,\uparrow}c^{\dagger}_{\alpha,\downarrow} c_{\beta,\downarrow} c_{\beta,\uparrow} \] also called the reduced-BCS model. The single-particle energies \(\varepsilon_{\alpha}\) are {\it arbitrary} parameters.




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Author: Jean-Sébastien Caux

Created: 2024-01-18 Thu 14:24