In different embodiments, a method is provided for processing at least one crystalline Silicon-wafer or a Solar-cell wafer. The method may include: a movement of the wafer with respect to a laser producing a laser beam; and therefore the formation of a laser channel in the wafer by means of a laser beam, wherein a thermal budget applied on the wafer by means of the laser beam is reduced in the peripheral region of the wafer, wherein the peripheral region includes a wafer edge, through which the laser beam exits the wafer after formation of the laser channel.