Abstract
The quantum size effect, predicted by I. M. Lifshits and A. M. Kosevich [Izv. Akad. Nauk SSSR Ser. Fiz. 19, 395 (1955)] has been investigated in many studies. The underlying basis of the analysis of quantum size oscillations of thermodynamics and kinetic characteristics of metal films is the quasiclassical quantization of the momentum component for isotropy model and quantization {S. S. Nedorezov, Zh. Éksp. Teor. Fiz. 51, 868 (1966) [Sov. Phys. JETP 24, 578 (1967)]} of a chord of the constant-energy surface in the case of anisotropy of the energy spectrum. In the given work the research of quantum size levels of energy of electrons in metal films is carried out by the method of J. M. Luttinger and W. Kohn. The exact conditions of size quantization are obtained.
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