Based on the former quantum-mechanical study on the effective harmonic
trap confining an ultracold ion, we make a quantum-mechanical treatme
nt for the radiation field of the laser. Thus some two-mode nonclassic
al states, i.e., an approximate two-mode squeezed state and different
two-mode entangled Fock states can be prepared in the red- and blue-de
tuning cases, respectively, within Lamb-Dicke regime and strong confin
ement limit.