The effect of applying an external voltage to a molecular wire connecting t
wo reservoirs of states is analyzed through the use of a Hubbard Hamiltonia
n which explicitly depends on the applied voltage. The Hamiltonian is solve
d using a method based on two-by-two rotations of molecular orbitals, which
avoids divergence, and permits both ground and excited states to be obtain
ed. The special case of a polyacene wire is studied in detail as a function
of the wire length. It is shown that the energies of the ground and excite
d states of the wire cross as the voltage is increased. This crossing produ
ces specific features in the current-voltage characteristic of the molecula
r wire.