A treatment apparatus for operatively correcting myopia or hyperopia in an eye includes a laser device controlled by a control device and that separates the corneal tissue by applying a laser beam. The control device controls the laser device to emit the laser beam into the cornea such that a lenticule-shaped volume is isolated in the cornea. The control device, when controlling the laser device, predefines the lenticule-shaped volume such that the volume has a minimum thickness of between 5 and 50 μm. For myopia correction, the minimum thickness occurs on the edge of the volume, and for hyperopia correction the minimum thickness occurs in the region of the visual axis.