Abstract
Line-shape analysis in absorption spectroscopy provides detailed information on microscopic structure as well as on relaxation processes that take place in the sample. Both aspects are closely intertwined in the framework of the stochastic Liouville equation, where the dynamics of an isolated Hamiltonian system is supplemented with stochastic modulation to account for random interactions with the surrounding medium. Previously, this equation has been solved analytically for a special class of modulation operators of separable form [E. van Faassen, Phys. Rev. A 42, 2785 (1990)]. In this paper the method is extended to include hyperfine couplings in the Hamiltonian, as such couplings are of eminent importance for practical applications in the field of microwave spectroscopy. Again, the equation is rigorously solved by algebraic means. The solution is shown to have a much richer analytical structure than the previous case.
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