Frequency Modulated Oscillators with Soluble Dynamics: A Model for Resonance Spectroscopy
Magnetic resonance spectroscopy can normally be formulated in terms of the response of frequency modulated oscillators to an external, resonant probe field. Experimental observation of the response lineshape then provides information both on the Hamiltonian of the resonating center, as well as on the underlying dynamics responsible for the frequency modulation. We introduce a model for the modulation process, for which the oscillator response can be evaluated exactly by algebraic methods. The lineshape functions can be derived in closed form, and their analytical structure in the frequency domain investigated in great detail.