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Weak values, obtained from weak measurements, attempt to describe theproperties of a quantum system as it evolves from an initial to a final state,without practically altering this evolution. Trajectories can be defined fromweak measurements of the position, or inferred from weak values of the momentumoperator. The former can be connected to the asymptotic form of the Feynmanpropagator and the latter to Bohmian trajectories. Employing a time-dependentoscillator as a model, this work analyzes to what extent weak measurements canshed light on the underlying dynamics of a quantum system expressed in terms oftrajectories, in particular by comparing the two approaches.

Weak measurements of trajectories in quantum systems: classical, Bohmian and sum over paths