Weak measurement are a relatively new trend in quantum experiment. They mean to determine the so-called Bohmian velocity, but in fact they measure the average linear momentum while disturbing very little the wave-function in each trial of the experiment. Thus, in each trial, after such a measurement one can do additional measurements on the wave-function negligibly disturbed.
For a very clear example see:
Sacha Kocsis, Boris Braverman, Sylvain Ravets, Martin J. Stevens, Richard P. Mirin, L. Krister Shalm, Aephraim M. Steinberg, Observing the Average Trajectories of Single Photons in a Two-Slit Interferometer, Science 332, 1170 (2011); DOI: 10.1126/science.1202218