Nonlinear response of a deformed oscillator

We analyze the response of a single anharmonic diatomic molecule to a monochromatic time dependent electric field ω ( 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 ( $\hat{n}$ ) a †, A = af ( $\hat{n}$ ) in terms of the usual harmonic oscillator creation and annihilation operators a, a †, $\hat{n}$ = a † a and choose the number operator function f ( $\hat{n}$ ) 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. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005