A rotary lifting actuator comprising a hollow cylindrical stator and a rotor which is arranged coaxially in the hollow cylindrical stator, and a controller, wherein the stator comprises a plurality of hollow cylinder sections (116, H1, H2, H3), each hollow cylinder section comprising a plurality of coils arranged over the hollow cylinder section circumference in a distributed manner, wherein the rotor comprises a plurality of shaft sections (202, W1, W2, W3, W4), wherein each shaft section comprises a plurality of permanent magnets arranged over the shaft section circumference in a distributed manner, wherein the polarity of the permanent magnets of the rotor alternates in such a way that a checkerboard pattern is produced, wherein the coils are operated in a three-phase alternating current mode, wherein each hollow cylinder section comprises three coils or an N-fold of the three coils, respectively, on its circumference in a distributed manner, and wherein three hollow cylinder sections or an N-fold of the three hollow cylinder sections are provided in the longitudinal direction of the hollow cylindrical stator wherein the controller is embodied to energize the coils of the hollow cylinder sections of the stator for the rotary movement of the rotor in such a way that a traveling magnetic field is generated along the hollow cylinder sections, wherein the energized coil rows along the hollow cylinder sections are at least in part energized alternately in opposite directions, and/or wherein the controller is embodied to energize the coils of the hollow cylinder sections of the stator for the lifting movement of the rotor in such a way that a traveling magnetic field is generated transversely with regard to the hollow cylinder sections, the energized coil rows being energized transversely with regard to the hollow cylinder sections at least partially alternately in opposite directions, characterized in that an outer circumferential surface of the rotor spanned by four permanent magnets in two shaft sections (202, W1, W2) of the rotor is covered by an inner circumferential surface of the stator spanned by the nine coils in three hollow cylinder sections (116, H1, H2, H3) of the stator. a hollow cylindrical stator and a rotor which is arranged coaxially in the hollow cylindrical stator, and a controller, wherein the stator comprises a plurality of hollow cylinder sections (116, H1, H2, H3), each hollow cylinder section comprising a plurality of coils arranged over the hollow cylinder section circumference in a distributed manner, wherein the rotor comprises a plurality of shaft sections (202, W1, W2, W3, W4), wherein each shaft section comprises a plurality of permanent magnets arranged over the shaft section circumference in a distributed manner, wherein the polarity of the permanent magnets of the rotor alternates in such a way that a checkerboard pattern is produced, wherein the coils are operated in a three-phase alternating current mode, wherein each hollow cylinder section comprises three coils or an N-fold of the three coils, respectively, on its circumference in a distributed manner, and wherein three hollow cylinder sections or an N-fold of the three hollow cylinder sections are provided in the longitudinal direction of the hollow cylindrical stator wherein the controller is embodied to energize the coils of the hollow cylinder sections of the stator for the rotary movement of the rotor in such a way that a traveling magnetic field is generated along the hollow cylinder sections, wherein the energized coil rows along the hollow cylinder sections are at least in part energized alternately in opposite directions, and/or wherein the controller is embodied to energize the coils of the hollow cylinder sections of the stator for the lifting movement of the rotor in such a way that a traveling magnetic field is generated transversely with regard to the hollow cylinder sections, the energized coil rows being energized transversely with regard to the hollow cylinder sections at least partially alternately in opposite directions, characterized in that an outer circumferential surface of the rotor spanned by four permanent magnets in two shaft sections (202, W1, W2) of the rotor is covered by an inner circumferential surface of the stator spanned by the nine coils in three hollow cylinder sections (116, H1, H2, H3) of the stator.