Algebraic Bethe ansätze and eigenvalue-based determinants for Dicke–Jaynes–Cummings–Gaudin quantum integrable models

In relation to this, an interesting approach to the Hubbard model is given in [14] that leads to the evaluation of energies for the antiferromagnetic state and allows one to control

Thus, in every case and for all the values of the coupling, their is no striking effect of the resonance on the characteristic time, it only affects the value of the local

For temperatures high enough, the conjectures raised in the literature have been rigorously established, namely the exchangeability of the infinite volume and infinite Trotter

One could then simply define the grid points (at g + g) as the roots found at the previous point z i (g + g) = λ i (g), which guarantees proximity of the grid to the actual

Namely, we will reproduce all clas- sical finite gap solutions of a sigma model from the Bethe ansatz solution for a system of physical particles on the space circle, in a special

This lack of a proper vacuum reference state is also typical of integrable models without U(1) symmetry and consequently a wide variety of approaches have been built in order to

Keywords : Liouville integrable systems, rotation number, semitoric systems, quantization, pseudo-differential operators, semiclassical analysis, asymptotic lattice, good

It would be quite cumbersome to give a general comparison of the results for the countable set of potentials, but we hope that these arguments are sufficient to show that our