The separability of a dressed molecule, a composite molecule + quantiz
ed radiation field system, at high field intensities is examined. Vari
ous forms of the Hamiltonian describing the dressed molecule are revie
wed and are used to assess the zeroth-order separability of the dresse
d system. A new high-order adiabatic separation between the strongly c
oupled quantized field and molecular subsystems is derived. Qualitativ
e manifestations of laser-induced molecular structures are discussed w
ithin this high-order adiabatic representation.