Magnetic excitations localized in space and periodic in time
Аннотация
A one–parameter localized solution to the Landau-Lifshitz equation for a one–dimensional magnetization soliton in an easy-plane ferromagnet in a magnetic field oriented along the anisotropy axis is obtained. This solution corresponds to oscillations of the magnetization in a soliton whose center executes periodic motions, but which does not, on the average, undergo displacements. The solution parameter is the oscillation frequency ω of the magnetization vector. It is shown that, for imaginary values of the parameter ω, the solution describes the scattering of two magnetization-vector rotation waves. The soliton energy is computed, and its quasiclassical quantization is carried out. The energy spectrum obtained as a result of the quasiclassical quantization is compared with the spectrum obtained in the exactly soluble quantum-mechanical problem.