An apparatus for determining directional transport processes with a scanning microscope (100) is disclosed. A deflection means (5) for coupling in an illuminating light beam (3), and a scanning module (7) for graphical display of a specimen (15) on a peripheral device (27) and for positioning the illuminating light beam (3) for a specific time period on a location of the specimen (15), are provided. Provided between the deflection means (5) and the scanning module (7) is a device (65) that generates, from the illuminating light beam (3), at least two illuminating light beams (3a , 3b) that merge at a rotation point (70) of the scanning module (7). Each of the several illuminating light beams (3a, 3b) generates a respective focus (72) in the specimen (15), all the foci (72) being arranged in one plane (75).