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We report on a quantum description of the domain wall (DW) motion under aspin current. A bound magnon, which is the zero mode of DW, is found to play adominant role in DW dynamics. The bound magnon acquires its inertia by the hardaxis anisotropy and is a free particle even under the spin current. The fulltransfer of spin angular momentum from the spin current to DW via the boundmagnon leads to the DW motion with the adiabatic velocity, decoupling of spinwaves from DW, and no Doppler shift in spin waves.

Role of Bound Magnon in Magnetic Domain Wall Motion