The formulation of a simplified one-band model of ferromagnetism, convenient for analytical discussion of thin film properties, is given. Basing on this model the main effects experimentally observed in thin films, such as one electron excitations; spin waves and spin wave resonances, spontaneous magnetization, and the problem of dead layers are discussed. Some new effects following from our model, which are connected with the band nature of its origin, are presented.
The perturbation of a hydrogen-like atom by a plane polarized electromagnetic wave is considered on the basis of Dirac's equation, and perturbed wave functions are obtained. These functions lead by a method similar to that used by Sommerfeld in his "Wellenmechanisches Erganzungsband" to a formula for the spatial distribution of the photoelectrons. To the first approximation this formula differs from that given by a factor 5/9 in the second term. The angle between the average direction of the emission of the photoelectrons and the electric vector of the incident wave appears therefore to be equal to hv/cmv instead of the value (9/5) {hv/cmv) given. The factor 5/9 follows from the consideration of the normalizing factors for the spherical harmonics, which were not introduced by Sommerfeld. A second approximation has also been obtained showing the influence of electron spin. This approximation differs from that obtained by Carrelli in that the spin and some other terms not considered by Carrelli and also the factor 5/9 appear.
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