The BCS model and the off shell Bethe ansatz for vertex models

Details The BCS model and the off shell Bethe ansatz for vertex models The BCS model and the off shell Bethe ansatz for vertex models

2000-10-23

arxiv.org/abs/cond-mat/0010349v2

J.Phys. A34 (2001) 6425-6434

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure. To be published in J. Phys. A

Scientific paper

10.1088/0305-4470/34/33/307

We study the connection between the BCS pairing model and the inhomogeneous vertex model. The two spectral problems coincide in the quasi-classical limit of the off-shell Bethe Ansatz of the disordered six vertex model. The latter problem is transformed into an auxiliary spectral problem which corresponds to the diagonalization of the integrals of motion of the BCS model. A generating functional whose quasi classical expansion leads to the constants of motion of the BCS model and in particular the Hamiltonian, is identified.

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