Intrinsic quantum dynamics and its measurement through local-in-position weak values.

Due to quantum backaction, generalized positive-operator valued measurements without post-selection happen to be invasive for superposition states. This precludes a clear-cut definition of intrinsic (i.e. measurement-independent) dynamical properties such as, for example, a coherent quantum work.On the contrary, certain weak values, i.e., including a particular post-selction rule, are, by construction, free from quantum backaction effects and hence provide apparatus-independent information. In this work we will prove the existence of a one-to-one correspondence between any local-in-position weak value and the intrinsic Bohmian property associated to the corresponding observable. Therefore, intrinsic Bohmian properties, independent of the measuring apparatus by definition and measurable through local-in-position weak values, can be understood as a genuine representation of the unperturbed/intrinsic dynamics of coherent quantum systems.The dwell time, the work distribution and the high-frequency electrical current defined for quantum systems are shown to be paradigmatic examples of the physical soundness of intrinsic Bohmian properties.