Quasi exactly solvable quantum lattice solitons
arXiv:quant-ph/0412174 · doi:10.1142/S0217751X06025316
Abstract
We extend the exactly solvable Hamiltonian describing $f$ quantum oscillators considered recently by J. Dorignac et al. by means of a new interaction which we choose as quasi exactly solvable. The properties of the spectrum of this new Hamiltonian are studied as function of the new coupling constant. This Hamiltonian as well as the original one are also related to adequate Lie structures.
19 pages, 2 figures, results extended