We point out that in the first order time-dependent perturbation theory, the transition probability Assessment of the quality of the healing process in experimentally induced skin lesions treated with autologous platelet concentrate associated or unassociated with allogeneic mesenchymal stem cells: preliminary results in a large animal model may behave nonsmoothly in time and have kinks periodically.Moreover, the detailed temporal evolution can be sensitive to the exact locations of the eigenvalues in the continuum spectrum, in contrast to coarse-graining ideas.Underlying this nonsmooth and level-resolved dynamics is a simple equality about the sinc function $sinc x equiv sin x / x$.These physical effects appear in many systems with approximately equally spaced spectra, and is also robust for larger-amplitude coupling beyond the domain of perturbation theory.
We use a one-dimensional periodically driven tight-binding model to illustrate these effects, both within Multi-Frame Super-Resolution Reconstruction Based on Gradient Vector Flow Hybrid Field and outside the perturbative regime.