Phantom pain is a chronic painful condition that affects patients with amputations. Treatment for phantom pain is often disappointing. In amputees, hyperexcitability of the posterior parietal cortex area (PPC) contralateral to the side of the amputation has been linked with the presence of phantom sensations. PPC is an area overactive in different forms of chronic pain too. It is therefore conceivable that downregulation of activity in PPC could improve phantom limb pain, a condition poorly responsive to available treatments. We have previously demonstrated that low frequency TMS (1 Hz) results in decreased excitability of the stimulated cortical regions. We plan to apply low-frequency TMS to PPC cortical areas contralateral to the side of the amputated limb. We expect that this intervention will result in amelioration of the phantom pain. Stimulation of the PPC area (target intervention) will be compared with a control intervention in which TMS is directed slightly away from the head.