Semiclassical quantization of magnetic solitons

Description of magnetic, dynamic solitons in magnetically ordered crystals is based on both classical and quasi-classical mechanics. The magnetic soliton is regarded as a bound state of a large number of elementary magnetic excitations, i.e. magnons. It is shown that the semiclassical quantization of the magnetic soliton spectrum leads to results coincided exactly with the quantum spectrum of corresponding spin complexes. An unexpected periodic dependence of the soliton energy on the total soliton momentum is discussed. Such a dependence causes the Bloch oscillations of the magnetic soliton in the presence of a small gradient of the magnetic field. The linear dependence of the total soliton momentum on the time is calculated. (C) 1998 Elsevier Science B.V.