Nonlinear response of a deformed oscillator

We analyze the response of a single anharmonic diatomic molecule to a monochromatic time dependent electric field (E) over right arrow (omega)(t) and evaluate the temporal evolution of the dipole moment, phase space trajectories, and several transition probabilities as a function of the intensity of the field. We define deformed boson operators A(+) = f((eta) over capa(+))a', A = af(h) in terms of the usual harmonic oscillator creation and annihilation operators a, a(+), (n) over cap = a(+)a and choose the number operator function f((n) over cap) such that the energy spectrum of a harmonic oscillator-type Hamiltonian written in terms of the deformed operators yields an energy spectrum similar to that of a Morse potential. (c) 2005 Wiley Periodicals, Inc.