Raman Theory for a Molecule in a Vibrating Microcavity Oscillating in Fundamental Resonance**The project supported in part by National Natural Science Foundation of China under Grant Nos 69788002 and 60078023, and Institute of Theoretical Physics, The Chinese Academy of Sciences

Abstract

We propose a model to describe the energy structure and dynamics of a system of a molecule interacting with infinite photon modes in a vibrating microcavity whose boundary oscillates in the fundamental resonance. By constructing an Lie algebra for the infinite photon modes, we obtain analytical expressions of the energy eigenstates, energy eigenvalues and the system's evolution operator for this Raman model under certain conditions.