Displaying similar documents to “Bethe ansatz solutions of the Bose-Hubbard dimer.”

Symmetries of an extended Hubbard Model

Bianca Cerchiai, Peter Schupp (1997)

Banach Center Publications

Similarity:

The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting S U q ( 2 ) holds as a true quantum symmetry, but only for D=1.

The mean-field limit for the dynamics of large particle systems

François Golse (2003)

Journées équations aux dérivées partielles

Similarity:

This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.