"One-dimensional" Coherent States and Oscillation Effects in Metals in a Magnetic Field

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The "one-dimensional" coherent states are applied to describe the Shubnikov - de Haas and the de Haas-van Alphen oscillation effects in metals, semimetals, and degenerate semiconductors. The oscillatory part of the electron density of states in a magnetic field is calculated. A substantial simplification of calculations is achieved.
4 pages, 1 figure with caption

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