The theoretical description of the interplay between coherent evolution and chemical exchange, which was originally developed for magnetic resonance and later applied to other spectroscopic regimes, was derived under incorrect statistical assumptions. Correcting these assumptions allows access to the exact form of the chemical exchange interaction, derived within the Lindblad master equation formalism for generality. The exact form of the interaction differs from the traditional equation only by a scalar correction factor derived from higher-order interactions, and it regularly improves the convergence radius of the solution (thus increasing the allowable step size in calculations) by up to an order of magnitude, without any additional computational cost.
The theoretical description of the interplay between coherent evolution and chemical exchange, originally developed for magnetic resonance and later applied to other spectroscopic regimes, was derived under incorrect statistical assumptions. Correcting these assumptions provides access to the exact form of the chemical exchange interaction, which we derive within the Lindblad master equation formalism for generality. The exact form of the interaction is only different from the traditional equation by a scalar correction factor derived from higher-order interactions and regularly improves the radius of convergence of the solution (hence increasing the allowable step size in calculations) by up to an order of magnitude for no additional computational cost.
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