Following the approach of
[1], we construct the master
T-operator for the
quantum Gaudin model with twisted boundary conditions and show that it satisfies the bilinear identity and Hirota equations for the classical KP hierarchy. We also characterize the class of solutions to the KP hierarchy that correspond to eigenvalues of the master
T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the
quantum Gaudin model and the classical
Calogero&
ndash;Moser system of particles.