On the dynamics of lattice systems with unbounded on-site terms in the   Hamiltonian
  We supply the mathematical arguments required to complete the proofs of two previously published results: Lieb-Robinson bounds for the dynamics of quantum lattice systems with unbounded on-site terms in the Hamiltonian and the existence of the thermodynamic limit of the dynamics of such systems. 
Bruno Nachtergaele and Robert Sims
math-ph math.MP