Exact wavefunctions for excitations of the nu=1/3 fractional quantum   Hall state from a model Hamiltonian
  We study fractional quantum Hall states in the cylinder geometry with open boundaries. By truncating the Coulomb interactions between electrons we show that it is possible to construct infinitely many exact eigenstates including the ground state, quasiholes, quasielectrons and the magnetoroton branch of excited states. 
Paul Soul\'e and Thierry Jolicoeur
cond-mat.str-el cond-mat.mes-hall