Abstract
A molecular system adsorbed on a dielectric surface is modeled as a damped harmonic oscillator driven by a sinusoidal external force. The exact propagator and wave function through the Feynman path-integral method are obtained. The second quantization of this system is carried out. Expectation values of several physical quantities are evaluated. The amplitude for transitions between harmonic-oscillator states and damped driven oscillator states are obtained explicitly, and the result is applied to a two-level system.
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