Affiliation:
1. Department of Chemistry Seoul National University Seoul 151‐747 Korea
Abstract
A stochastic lineshape theory is formulated for the non‐Markovian and multistate frequency modulation model. The frequency of the stochastic oscillator undergoes non‐Markovian modulations between multiple states, and the transition processes are described by arbitrary waiting‐time distributions. By incorporating stationarity into the stochastic process in a proper way, we calculate the propagator and the relaxation function. It is shown that a stationary distribution among the oscillator states satisfies a generalized detailed balance condition even in the non‐Markovian case. We find an exact expression for the lineshape function, which contains the Markovian case as a special limit.