System for wireless ablation of a pulmonary vein comprising a. an implant device (101, 1201, 1301) provided with a pick-up coil and an ablation region, (412,512,612) whereby the ablation region of the implant device is adapted for surface contact with the pulmonary vein and for subtending at least a substantially complete circumferential band for ablating a signal-blocking path within the pulmonary vein upon heating of the ablation region, b. a catheter comprising a longitudinal shaft with a distal end, a proximal end, and a longitudinal body in between, whereby the catheter comprises a longitudinal axis along the longitudinal shaft, and whereby the catheter further comprises an emitter coil (103, 203, 303) at or near the distal end, and whereby the longitudinal body of the catheter further comprises a wiring lumen comprising electrical wiring extending from the distal end to the proximal end, and whereby the electrical wiring is connected at or near the distal end with the emitter coil, and c. an electric power source which can be connected to the wiring via the proximal end of the catheter shaft for the generation of a time- varying magnetic field with the emitter coil; and in which a. the catheter shaft (1002, 1102, 1202, 1302) comprises one or more balloons (1013, 1113, 1213, 1313) at or near its distal end, each balloon comprising one or more air-tight connections (1214, 1314, 1215, 1315) to the catheter shaft, each balloon further comprising an interior and an exterior region, the exterior regions of the balloons adapted for complete circumferential surface contact with the vein and/or the implant device upon inflation, b. the longitudinal body of the catheter shaft comprises an inflation lumen, (1016, 1116, 1216, 1316) the inflation lumen comprising a distal end and a proximal end, the proximal end of the inflation lumen adapted for connection with a pressurizing means, and c. the interior regions of the balloons are in communication with the distal end of the inflation lumen; in which the longitudinal body of the catheter comprises an additional transfer lumen with a distal end and a proximal end, and in which the distal end of the transfer lumen is in communication with the exterior region of the balloons via one or more openings in the catheter shaft at or near the distal end of the catheter, and in which the proximal end of the transfer lumen is adapted for connection with a fluid delivery and/or drainage system. a. an implant device (101, 1201, 1301) provided with a pick-up coil and an ablation region, (412,512,612) whereby the ablation region of the implant device is adapted for surface contact with the pulmonary vein and for subtending at least a substantially complete circumferential band for ablating a signal-blocking path within the pulmonary vein upon heating of the ablation region, b. a catheter comprising a longitudinal shaft with a distal end, a proximal end, and a longitudinal body in between, whereby the catheter comprises a longitudinal axis along the longitudinal shaft, and whereby the catheter further comprises an emitter coil (103, 203, 303) at or near the distal end, and whereby the longitudinal body of the catheter further comprises a wiring lumen comprising electrical wiring extending from the distal end to the proximal end, and whereby the electrical wiring is connected at or near the distal end with the emitter coil, and c. an electric power source which can be connected to the wiring via the proximal end of the catheter shaft for the generation of a time- varying magnetic field with the emitter coil; a. the catheter shaft (1002, 1102, 1202, 1302) comprises one or more balloons (1013, 1113, 1213, 1313) at or near its distal end, each balloon comprising one or more air-tight connections (1214, 1314, 1215, 1315) to the catheter shaft, each balloon further comprising an interior and an exterior region, the exterior regions of the balloons adapted for complete circumferential surface contact with the vein and/or the implant device upon inflation, b. the longitudinal body of the catheter shaft comprises an inflation lumen, (1016, 1116, 1216, 1316) the inflation lumen comprising a distal end and a proximal end, the proximal end of the inflation lumen adapted for connection with a pressurizing means, and c. the interior regions of the balloons are in communication with the distal end of the inflation lumen; in which the longitudinal body of the catheter comprises an additional transfer lumen with a distal end and a proximal end, and in which the distal end of the transfer lumen is in communication with the exterior region of the balloons via one or more openings in the catheter shaft at or near the distal end of the catheter, and in which the proximal end of the transfer lumen is adapted for connection with a fluid delivery and/or drainage system.