Electromagnetic linear motor with a longitudinal stator, with a cylindrical hollow stator body made of a magnetically soft material, with a hollow space running axially through the hollow body, with exactly one magnetic coil of the stator arranged on the inside of the hollow body facing the hollow space, the windings, which consist of an electrical conductor, enclose the hollow space, with at least one rotor linearly movable in the stator, with an axially magnetized permanent magnet (7, 10) of the rotor, with a first segment at a first end of the cylindrical hollow body and a second segment at the second end of the cylindrical body facing away from the first end, with an equally large or differing cross section of the axially running hollow space limited by the hollow body in the first and the second segment (14, 15), with exactly one third segment of the cylindrical hollow body between the first and second segment (14, 15), wherein the third segment of the cylindrical hollow body comprises exactly one ring-shaped stator terminal shoe that is arranged so that it is spaced axially in relation to the magnetic coil on the inside of the cylindrical hollow body, with a jacket tube arranged in the hollow space of the hollow body, wherein the windings of the magnetic coil are wound around the jacket tube and the jacket tube is made of a non-ferromagnetic material, wherein the stator terminal shoe is arranged between the hollow body and the jacket tube, characterized in a cross section of the axially running hollow space limited by the hollow body in the third segment that is smaller than the cross section of the hollow space in the first segment and than the cross section of the hollow space in the second segment. with a longitudinal stator, with a cylindrical hollow stator body made of a magnetically soft material, with a hollow space running axially through the hollow body, with exactly one magnetic coil of the stator arranged on the inside of the hollow body facing the hollow space, the windings, which consist of an electrical conductor, enclose the hollow space, with at least one rotor linearly movable in the stator, with an axially magnetized permanent magnet (7, 10) of the rotor, with a first segment at a first end of the cylindrical hollow body and a second segment at the second end of the cylindrical body facing away from the first end, with an equally large or differing cross section of the axially running hollow space limited by the hollow body in the first and the second segment (14, 15), with exactly one third segment of the cylindrical hollow body between the first and second segment (14, 15), wherein the third segment of the cylindrical hollow body comprises exactly one ring-shaped stator terminal shoe that is arranged so that it is spaced axially in relation to the magnetic coil on the inside of the cylindrical hollow body, with a jacket tube arranged in the hollow space of the hollow body, wherein the windings of the magnetic coil are wound around the jacket tube and the jacket tube is made of a non-ferromagnetic material, wherein the stator terminal shoe is arranged between the hollow body and the jacket tube, characterized in a cross section of the axially running hollow space limited by the hollow body in the third segment that is smaller than the cross section of the hollow space in the first segment and than the cross section of the hollow space in the second segment.