Abstract
The Hamiltonian and hence the relevant equations of motion involving the dynamics of a driven classical anharmonic oscillator with 2m–th anharmonicity are framed. By neglecting the nonsynchronous energy terms, we derive the model of a driven multi-photon (2m–th) quantum anharmonic oscillator. The dynamical nature of the field operators is expressed in terms of the coupling constant, excitation number and the driven parameter. The solutions presented here are fully analytical and are exact in nature.
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